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Elementary and Intermediate Algebra | 5th Edition | ISBN: 9781111567682 | Authors: Alan S. Tussy R. David Gustafson
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Author: Alan S. Tussy R. David Gustafson
Publisher: Brooks Cole
ISBN: 9781111567682
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Chapter 12 Problems

Chapter: 12 Problem: 12.2.1

Elementary and Intermediate Algebra 5
Fill in the blanks. 2x y 3z  0 3x y 4z  5 4x 2y 6z  0 is called a ______ of three linear equations in three variables. Each equation is written in ______Ax By Cz  Dform.

Chapter: 12 Problem: 1

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. 11, 1 2 2, e x  2y 0 x  4y 1

Chapter: 12 Problem: 12.3.1

Elementary and Intermediate Algebra 5
Fill in the blanks. If a point lies on the graph of an equation, it is a solution of the equation, and the coordinates of the point _____ the equation.

Chapter: 12 Problem: 12.4.1

Elementary and Intermediate Algebra 5
Fill in the blanks. A ______ is a rectangular array of numbers written within brackets.

Chapter: 12 Problem: 12.1.1

Elementary and Intermediate Algebra 5
Fill in the blanks. e x y  1 2x y  1 10 is called a ____ of equations.

Chapter: 12 Problem: 12.5.1

Elementary and Intermediate Algebra 5
Fill in the blanks. ` 4 9 6 1 `is a _____ . The numbers 4 and 1 lie along its main _____.

Chapter: 12 Problem: 12.2.2

Elementary and Intermediate Algebra 5
Fill in the blanks. If the first two equations of the system in Exercise 1 are added, the variable y is ______ .

Chapter: 12 Problem: 2

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. (13, 23), e 3a 2b  7 0 2a  b 4 e (13

Chapter: 12 Problem: 12.3.2

Elementary and Intermediate Algebra 5
Fill in the blanks. The process of determining an equation whose graph contains given points is called curve _____ .

Chapter: 12 Problem: 12.4.2

Elementary and Intermediate Algebra 5
Fill in the blanks. Each number in a matrix is called an _____ or entry of the matrix.

Chapter: 12 Problem: 12.1.2

Elementary and Intermediate Algebra 5
Fill in the blanks. Because the ordered pair (2, 3) satisfies both equations in problem 1, it is a _____ of the system of equations.

Chapter: 12 Problem: 12.5.2

Elementary and Intermediate Algebra 5
Fill in the blanks. A determinant is number that is associated with a _____ matrix.

Chapter: 12 Problem: 12.2.3

Elementary and Intermediate Algebra 5
Fill in the blanks. Solutions of a system of three equations in three variables, x, y, and z, are written in the form (x, y, z) and are called ordered ______.

Chapter: 12 Problem: 3

Elementary and Intermediate Algebra 5
See the illustration. a. Give three points that satisfy the equation 2x  y 5. b. Give three points that satisfy the equation y x 4 2. c. Find the solution of: e 2x  y 5 y x 4 y 111 1 2 3 4 2 3 3 2 2345

Chapter: 12 Problem: 12.3.3

Elementary and Intermediate Algebra 5
Write a system of three equations in three variables that models the situation. Do not solve the system. 3. Desserts. A bakery makes three kinds of pies: chocolate cream, which sells for $5; apple, which sells for $6; and cherry, which sells for $7. The cost to make the pies is $2, $3, and $4, respec

Chapter: 12 Problem: 12.4.3

Elementary and Intermediate Algebra 5
Fill in the blanks. If the order of a matrix is 3  4, it has 3 _____ and 4 _____ . We read 3  4 as 3 _____ 4.

Chapter: 12 Problem: 12.1.3

Elementary and Intermediate Algebra 5
Fill in the blanks. When the graphs of the equations of a system are identical lines, the equations are called dependent and the system has ______ many solutions.

Chapter: 12 Problem: 12.5.3

Elementary and Intermediate Algebra 5
Fill in the blanks. The _____ of in a1 b1 c1 a2 b2 c2 a3 b3 c3 is ` a2 c2 a3 c3 `

Chapter: 12 Problem: 12.2.4

Elementary and Intermediate Algebra 5
Fill in the blanks. The graph of the equation 2x 3y 4z  5 z is a flat surface called a _____ .

Chapter: 12 Problem: 4

Elementary and Intermediate Algebra 5
Video Viewing. The graph below by the Diffusion Group (TDG) predicts American video viewing habits in the future. In what year does the graph predict that the weekly amount of time spent viewing live broadcast television will be the same as that spent viewing Internet video? Approximately how many ho

Chapter: 12 Problem: 12.3.4

Elementary and Intermediate Algebra 5
Write a system of three equations in three variables that models the situation. Do not solve the system. Fast Foods. Let the number of calories in a Big Mac hamburger, the number of calories in a small order of French fries, and the number of calories in a medium Coca-Cola. The total number of calor

Chapter: 12 Problem: 12.4.4

Elementary and Intermediate Algebra 5
Fill in the blanks. A matrix that represents the equations of a system is called an ______ matrix.

Chapter: 12 Problem: 12.1.4

Elementary and Intermediate Algebra 5
Fill in the blanks. In the equation x 3y  1 x, the x-term has an understood ______ of 1.

Chapter: 12 Problem: 12.5.4

Elementary and Intermediate Algebra 5
Fill in the blanks. ______ rule uses determinants to solve systems of linear equations.

Chapter: 12 Problem: 12.2.5

Elementary and Intermediate Algebra 5
Fill in the blanks. When three planes coincide, the equations of the system are ______ , and there are infinitely many solutions.

Chapter: 12 Problem: 5

Elementary and Intermediate Algebra 5
Solve each system by the graphing method, if possible. If a system is inconsistent or if the equations are dependent, state this. e 2x  y 11 x  2y 7

Chapter: 12 Problem: 12.3.5

Elementary and Intermediate Algebra 5
What equation results when the coordinates of the point (2, 3) are substituted into y  ax2 bx c?

Chapter: 12 Problem: 12.4.5

Elementary and Intermediate Algebra 5
Fill in the blanks. Elementary ______ operations can be used on an augmented matrix to produce a simpler equivalent matrix that gives the solution of a system. This process is called ______ - ______. elimination.

Chapter: 12 Problem: 12.1.5

Elementary and Intermediate Algebra 5
Refer to the illustration. Determine whether a true or a false statement is obtained when the coordinates of a. point A are substituted into the equation for line l1 b. point are substituted into the equation for line l1 c. point C are substituted into the equation for line l1 d. point are substit

Chapter: 12 Problem: 12.5.5

Elementary and Intermediate Algebra 5
Fill in the blanks. ` a b c d `

Chapter: 12 Problem: 12.2.6

Elementary and Intermediate Algebra 5
Fill in the blanks. When three planes intersect in a line, the system will have _____ many solutions.

Chapter: 12 Problem: 6

Elementary and Intermediate Algebra 5
Solve each system by the graphing method, if possible. If a system is inconsistent or if the equations are dependent, state this. e y 3 2 x 2x 3y  13 0 e

Chapter: 12 Problem: 12.3.6

Elementary and Intermediate Algebra 5
The equation y  5x2 6x 1 is written in the form y  ax2 bx c. What are a, b, and c?

Chapter: 12 Problem: 12.4.6

Elementary and Intermediate Algebra 5
Fill in the blanks. The matrix 1 0 2 01 4 d, with 1s down its main ______ and 0s directly above and below it, is in reduced row- ______ form.

Chapter: 12 Problem: 12.1.6

Elementary and Intermediate Algebra 5
Refer to the illustration. a. How many ordered pairs satisfy the equation 3x y  3? Name three. b. How many ordered pairs satisfy the equation 2 3 x y  3? Name three. c. How many ordered pairs satisfy both equations? Name it or them. y 3x + y = 3 x y = 3 2 3 111 1 2 3 4 5 6 7 2345 2 3

Chapter: 12 Problem: 12.5.6

Elementary and Intermediate Algebra 5
Fill in the blanks. To find the minor of 5, we cross out the elements of the determinant that are in the same row and column as . 3 51 6 2 2 8 1 4

Chapter: 12 Problem: 12.2.7

Elementary and Intermediate Algebra 5
For each graph of a system of three equations, determine whether the solution set contains one solution, infinitely many solutions, or no solution. a. b.

Chapter: 12 Problem: 7

Elementary and Intermediate Algebra 5
Solve each system by the graphing method, if possible. If a system is inconsistent or if the equations are dependent, state this. e 1 2 x  1 3 y 2 y 6 3 2 x

Chapter: 12 Problem: 12.3.7

Elementary and Intermediate Algebra 5
Making Statues. An artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $650 for 180 statues. The manufacturing costs for the three types are $5, $4, and $3. If the statues sell for $20, $12, and $9, respectively, how many of each type should be made to produce

Chapter: 12 Problem: 12.4.7

Elementary and Intermediate Algebra 5
For each matrix, determine the number of rows and the number of columns. a. c 4 6 1 1 9 3 d c b. 1 231 0 164 0 01 1 3

Chapter: 12 Problem: 12.1.7

Elementary and Intermediate Algebra 5
If the system e 4x 3y  7 3x 2y  6 is to be solved using the elimination method, by what constant should each equation be multiplied if a. the are to drop out? b. the are to drop out?

Chapter: 12 Problem: 12.5.7

Elementary and Intermediate Algebra 5
Fill in the blanks. In evaluating the determinant below, about what row or column was it expanded? 5 1 1 87 4 97 6 1 ` 8 7 9 7 ` 4 ` 5 1 9 7 `  6 ` 5 1 8 7 `

Chapter: 12 Problem: 12.2.8

Elementary and Intermediate Algebra 5
Consider the system: 2x y 4z  3 x y 2z  1 x y 3z  2 (1) (2) a. What is the result if equation 1 and equation 2 are added? b. What is the result if equation 2 and equation 3 are added? c. What variable was eliminated in the steps performed in parts (a) and (b)?

Chapter: 12 Problem: 8

Elementary and Intermediate Algebra 5
Solve each system by the graphing method, if possible. If a system is inconsistent or if the equations are dependent, state this. e x 3 y 2 1 6x 9y 3

Chapter: 12 Problem: 12.3.8

Elementary and Intermediate Algebra 5
Puppets. A toy company makes a total of 500 puppets in three sizes during a production run. The small puppets cost $5 to make and sell for $8 each, the standard-size puppets cost $10 to make and sell for $16 each, and the super-size puppets cost $15 to make and sell for $25. The total cost to make th

Chapter: 12 Problem: 12.4.8

Elementary and Intermediate Algebra 5
Fill in the blanks to complete each elementary row operation: a. Type 1: Any two rows of a matrix can be _____ . b. Type 2: Any row of a matrix can be ____ by a nonzero constant. c. Type 3: Any row of a matrix can be changed by _____ a nonzero constant multiple of another row to it.

Chapter: 12 Problem: 12.1.8

Elementary and Intermediate Algebra 5
Consider the system: 2 3 x y 6  16 9 0.03x 0.02y  a. What step should be performed to clear the first equation of fractions? b. What step should be performed to clear the second equation of decimals?

Chapter: 12 Problem: 12.5.8

Elementary and Intermediate Algebra 5
Fill in the blanks. What is the denominator determinant for the system e ? 3x  4y 7 2x 3y 5

Chapter: 12 Problem: 12.2.9

Elementary and Intermediate Algebra 5
For the following system, clear the equations of any fractions or decimals and write each equation in Ax By Cz  D S form. x y  3 4z 0.7x 0.2y 0.8z  1.5 x 2 y 3 z 6  2 3 Ax B

Chapter: 12 Problem: 9

Elementary and Intermediate Algebra 5
Solve each system using the substitution method. e x y 4 2x  3y 7

Chapter: 12 Problem: 12.3.9

Elementary and Intermediate Algebra 5
Nutrition. A dietician is to design a meal using Foods A, B, and C that will provide a patient with exactly 14 grams of fat, 13 grams of carbohydrates, and 9 grams of protein. Each ounce of Food A contains 2 grams of fat, 3 grams of carbohydrates, and 2 grams of protein. Each ounce of Food B contai

Chapter: 12 Problem: 12.4.9

Elementary and Intermediate Algebra 5
Gauss-Jordan elimination was used to solve a system. The final augmented matrix is shown. Fill in the blanks. a. c 1 0 10 01 6 d represents e 10 6 c The solution of the system is ( , ). b. 100 16 010 8 001 4 represents 16 y 8 4 The solution of the system is ( , , ).

Chapter: 12 Problem: 12.1.9

Elementary and Intermediate Algebra 5
Complete each solution. Solve: The solution is ( , 2). y  y  3( ) 7 y  3x 7 x  3 4x  x 7  5 x 3x 7  x ( )  5 e y  3x 7 x y  5 2 3 x

Chapter: 12 Problem: 12.5.9

Elementary and Intermediate Algebra 5
Fill in the blanks. What is the denominator determinant for the system x  2y 8 3x  y z 2 8x  4y z 6

Chapter: 12 Problem: 12.2.10

Elementary and Intermediate Algebra 5
What is the purpose of the numbers shown in red in front of the equations below? (1) (2) (3) x y z  6 2x y z  3 5x 3y z  2 (1)

Chapter: 12 Problem: 10

Elementary and Intermediate Algebra 5
Solve each system using the substitution method. e y 2x  5 3x 5y 4 e

Chapter: 12 Problem: 12.3.10

Elementary and Intermediate Algebra 5
Nutritional Planning. One ounce of each of three foods has the vitamin and mineral content shown in the table. How many ounces of each must be used to provide exactly 22 milligrams (mg) of niacin, 12 mg of zinc, and 20 mg of vitamin C? Milligrams per ounce in each food type Food Niacin Zinc Vitamin C

Chapter: 12 Problem: 12.4.10

Elementary and Intermediate Algebra 5
a. Which matrix shown below indicates that its corresponding system of equations has no solution? b. Which matrix indicates that the equations of its corresponding system are dependent? i. c d 1 2 4 00 0 d ii. c d 106 010 c d 1 iii. c 1 2 4 00 2 c d 10

Chapter: 12 Problem: 12.1.10

Elementary and Intermediate Algebra 5
Complete each solution. Solve: The solution is ( , 3). y  2y  2y  7 x 2y  7 x  7x  x 2y  7 6x 2y  0 e 6x 2y  0 x 2y  7

Chapter: 12 Problem: 12.5.10

Elementary and Intermediate Algebra 5
Fill in the blanks. For the system e 3x  2y 1 4x y 3 Dx 7 Dy 5 D and D 11. Find the solution of the system.

Chapter: 12 Problem: 12.2.11

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered triple is a solution of the system. See Example 1. (2, 1, 1) x y z  2 2x y z  4 2x 3y z  2 (2, 1

Chapter: 12 Problem: 11

Elementary and Intermediate Algebra 5
Solve each system using the elimination (addition) method. e x 2y 11 x  2y 21

Chapter: 12 Problem: 12.3.11

Elementary and Intermediate Algebra 5
Fashion Designer A clothing manufacturer makes coats, shirts, and slacks. The time required for cutting, sewing, and packaging each item is shown in the table. How many of each should be made to use all available labor hours? Coats Shirts Slacks Time available Cutting 20 min 15 min 10 min 115 hr Sewi

Chapter: 12 Problem: 12.4.11

Elementary and Intermediate Algebra 5
Explain what each symbolism means. a. R1 4 R2 b. 1 2 R1 c. 6R2  R3

Chapter: 12 Problem: 12.1.11

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. (4, 3); e ; 4x y  19 3x 2y  6 (4, 3

Chapter: 12 Problem: 12.5.11

Elementary and Intermediate Algebra 5
Fill in the blanks. For the system 2x  3y z 8 x y z 2 4x  3y  z 6 Dx 28 Dy 14 Dz 14 D 14 and D 14. Find the solution of the system.

Chapter: 12 Problem: 12.2.12

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered triple is a solution of the system. See Example 1. (3, 2, 1) 3x y z  6 2x 2y 3z  1 x y 2z  1 x y

Chapter: 12 Problem: 12

Elementary and Intermediate Algebra 5
Solve each system using the elimination (addition) method. e 4a  5b 9 6a 3b 3

Chapter: 12 Problem: 12.3.12

Elementary and Intermediate Algebra 5
Sculpting. A wood sculptor carves three types of statues with a chainsaw. The number of hours required for carving, sanding, and painting a totem pole, a bear, and a deer are shown in the table. How many of each should be produced to use all available labor hours? Totem pole Bear Deer Time available

Chapter: 12 Problem: 12.4.12

Elementary and Intermediate Algebra 5
Complete the solution to solve the system using matrices. e 4x y 14 x  y 6 104 012 d  1 5 R2 c 116 0 1 2 d 4R1 c 1 1 6 0 10 d R1 4 c 1 6 4 1 14 d c 4 This augmented matrix represents the equivalent system x 4 2  The solution is ( , 2) .

Chapter: 12 Problem: 12.1.12

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. (1, 2); e 3x y  5 x y  4 e (1

Chapter: 12 Problem: 12.5.12

Elementary and Intermediate Algebra 5
Fill in the blanks. Fill in the blank. If the denominator determinant for a system of equations is 0, the equations of the system are dependent or the system is _____.

Chapter: 12 Problem: 12.2.13

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered triple is a solution of the system. See Example 1. (6, 7, 5) 3x 2y z  37 x 3y  27 2x 7y 2z  48

Chapter: 12 Problem: 13

Elementary and Intermediate Algebra 5
Solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. 1 2 a 3 8 b 9 2 3 a 1 4 b 8 e 4a

Chapter: 12 Problem: 12.3.13

Elementary and Intermediate Algebra 5
NFL Records. Jerry Rice, who played the majority of his career with the San Francisco 49ers and the Oakland Raiders, holds the all-time record for touchdown (TD) passes caught. Here are some interesting facts about this feat. He caught 30 more TD passes from Steve Young than he did from Joe Montana.

Chapter: 12 Problem: 12.4.13

Elementary and Intermediate Algebra 5
Represent each system using an augmented matrix. See Example 1. e x  2y 6 3x y 10

Chapter: 12 Problem: 12.1.13

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. (2, 3); y 2  1 2 x 3x 2y  0

Chapter: 12 Problem: 12.5.13

Elementary and Intermediate Algebra 5
Complete the evaluation of each determinant. ` 5 2 2 6 ` 5( ) (2)(2) D Dx 4 ` 26

Chapter: 12 Problem: 12.2.14

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered triple is a solution of the system. See Example 1. (4, 0, 9) x 2y 3z  31 2x 6z  46 3x y  12

Chapter: 12 Problem: 14

Elementary and Intermediate Algebra 5
Solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. y x 3 2 x 2y  7 2

Chapter: 12 Problem: 12.3.14

Elementary and Intermediate Algebra 5
Hot Dogs. In 10 minutes, the top three finishers in the 2010 Nathans Hot Dog Eating Contest consumed a total of 136 hot dogs. The winner, Joey Chestnut, ate 9 more hot dogs than the runner-up, Tim Janus. Pat Bertoletti finished a distant third, 8 hot dogs behind Janus. How many hot dogs did each pers

Chapter: 12 Problem: 12.4.14

Elementary and Intermediate Algebra 5
Represent each system using an augmented matrix. See Example 1. x  y  z 4 2x  y z 1 2x 3y 1

Chapter: 12 Problem: 12.1.14

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. (1, 2); 2x y  0 y  1 2 x 3 2

Chapter: 12 Problem: 12.5.14

Elementary and Intermediate Algebra 5
Complete the evaluation of each determinant. 213 342 153

Chapter: 12 Problem: 12.2.15

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. x y z  4 2x y z  1 2x 3y z  1

Chapter: 12 Problem: 15

Elementary and Intermediate Algebra 5
Solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. e 4x 8y  5 8x 1 2y

Chapter: 12 Problem: 12.3.15

Elementary and Intermediate Algebra 5
Earths Atmosphere. Use the information in the circle graph to determine what percent of Earths atmosphere is nitrogen, is oxygen, and is other gases. Nitrogen: This is 12% more than three times the sum of the percent oxygen and the percent other gases. Other gases: This is 20% less than the percent o

Chapter: 12 Problem: 12.4.15

Elementary and Intermediate Algebra 5
For each augmented matrix, give the system of equations that it represents. c 167 014 d

Chapter: 12 Problem: 12.1.15

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. a 1 2 , 1 3 b; 2x 3y  2 4x 9y  1 a

Chapter: 12 Problem: 12.5.15

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` ` 2 3 2 5

Chapter: 12 Problem: 12.2.16

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. x y z  4 x y z  2 x y 2z  1

Chapter: 12 Problem: 16

Elementary and Intermediate Algebra 5
Solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. e x  3y 2 2(x  3y) 4 e

Chapter: 12 Problem: 12.3.16

Elementary and Intermediate Algebra 5
Deceased Celebrities. Between October 2009 and October 2010, the estates of Michael Jackson, Elvis Presley, and J.R.R. Tolkien (author of Lord of the Rings) earned a total of $385 million. Together, the Presley and Tolkien estates earned $165 million less than the Jackson estate. The Jackson estate e

Chapter: 12 Problem: 12.4.16

Elementary and Intermediate Algebra 5
For each augmented matrix, give the system of equations that it represents. 1 29 1 0 14 0 0 01 7

Chapter: 12 Problem: 12.1.16

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. a3 4 , 2 3 e b 2; e 4x 3y  1 4x 3y  5 a3

Chapter: 12 Problem: 12.5.16

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` 3 2 2 4 ` ` 2

Chapter: 12 Problem: 12.2.17

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. 3x 2y 5z  3 4x 2y 3z  10 5x 2y 2z  11

Chapter: 12 Problem: 17

Elementary and Intermediate Algebra 5
Solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. e 0.07x 0.05  0.09y 7x 9y 8

Chapter: 12 Problem: 12.3.17

Elementary and Intermediate Algebra 5
Triangles. The sum of the measures of the angles of any triangle is . In DABC, A measures 100 less than the sum of the measures of B and C, and the measure of C is 40 less than twice the measure of B. Find the measure of each angle of the triangle.

Chapter: 12 Problem: 12.4.17

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augumented matrix c 3 1 6 1 4 4 d. See Example 2. R1 4 R2

Chapter: 12 Problem: 12.1.17

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. (0.2, 0.5); e 2x 5y  2.1 5x y  0.5

Chapter: 12 Problem: 12.5.17

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` ` 9 7 4 2 `

Chapter: 12 Problem: 12.2.18

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. 5x 4y 2z  2 3x 4y 3z  27 2x 4y 7z  23

Chapter: 12 Problem: 18

Elementary and Intermediate Algebra 5
Solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. e 0.1x  0.2y 1.1 2x y 2 e

Chapter: 12 Problem: 12.3.18

Elementary and Intermediate Algebra 5
Quadrilaterals. A quadrilateral is a four-sided polygon. The sum of the measures of the angles of any quadrilateral is 360. In the illustration, the measures of A and B are the same. The measure of A is 20 greater than the measure of A, and the measure of D is 60 less than B. Find the measure o

Chapter: 12 Problem: 12.4.18

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augumented matrix c 3 1 6 1 4 4 d. See Example 2. 5R2

Chapter: 12 Problem: 12.1.18

Elementary and Intermediate Algebra 5
Use a check to determine whether the ordered pair is a solution of the system of equations. See Example 1. (2.1, 3.2); e x y  1.1 2x 3y  13.8 (2.

Chapter: 12 Problem: 12.5.18

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` 1 2 3 4 `

Chapter: 12 Problem: 12.2.19

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. 2x 6y 3z  9 5x 3y 5z  3 4x 3y 2z  15

Chapter: 12 Problem: 19

Elementary and Intermediate Algebra 5
Estimate the solution of the system e y 2 3 x 2x 3y 4 23. from the graphs in the illustration. Then solve the system algebraically.

Chapter: 12 Problem: 12.3.19

Elementary and Intermediate Algebra 5
TV History. X-Files, Will & Grace, and Seinfeld are three of the most popular television shows of all time. The total number of episodes of these three shows is 575. There are 21 more episodes of X-Files than Seinfeld, and the difference between the number of episodes of Will & Grace and Seinfeld is

Chapter: 12 Problem: 12.4.19

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augumented matrix c 3 1 6 1 4 4 d. See Example 2. 1 3 R1

Chapter: 12 Problem: 12.1.19

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 2. e x y  6 x y  2

Chapter: 12 Problem: 12.5.19

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` ` 5 20 10 6

Chapter: 12 Problem: 12.2.20

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. 4x 3y 5z  23 2x 5y 3z  13 4x 6y 7z  7

Chapter: 12 Problem: 20

Elementary and Intermediate Algebra 5
Give one advantage and one disadvantage for each of the following methods for solving a system of two linear equations in two variables. a. Graphing method b. Substitution method c. Elimination method

Chapter: 12 Problem: 12.3.20

Elementary and Intermediate Algebra 5
Traffic Lights. At a traffic light, one cycle through green-yellowred lasts for 80 seconds. The green light is on eight times longer than the yellow light, and the red light is on eleven times longer than the yellow light. For how long is each colored light on during one cycle?

Chapter: 12 Problem: 12.4.20

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augumented matrix c 3 1 6 1 4 4 d. See Example 2. 3R2  R1

Chapter: 12 Problem: 12.1.20

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 2. e x y  4 2x y  5 e

Chapter: 12 Problem: 12.5.20

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. 10 15 15 5

Chapter: 12 Problem: 12.2.21

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. 4x 5y 8z  52 2x 3y 4z  26 3x 7y 8z  31

Chapter: 12 Problem: 21

Elementary and Intermediate Algebra 5
Write a system of two equations in two variables to solve each problem. Library Cards. Residents of a city are charged $3 for a library card; nonresidents are charged $7. On a day when a total of 11 library cards were purchased, the receipts were $41. How many resident and nonresident library cards w

Chapter: 12 Problem: 12.3.21

Elementary and Intermediate Algebra 5
Ice Skating. Three circles are traced out by a figure skater during her performance as shown below. If the centers of the circles are the given distances apart (10 yd, 14 yd, and 18 yd), find the radius of each circle. (Hint: Each red line segment is composed of two radii. Label the radii r1, r2, and

Chapter: 12 Problem: 12.4.21

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augmented matrix 3 6 9 0 1 5 2 1 2 2 2 5 . See Example 2. R2 4 R3

Chapter: 12 Problem: 12.1.21

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 2. e y  2x 1 x 2y  7

Chapter: 12 Problem: 12.5.21

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` ` 6 2 15 4 `

Chapter: 12 Problem: 12.2.22

Elementary and Intermediate Algebra 5
Solve each system. See Example 2. 2x 6y 3z  20 5x 3y 5z  47 4x 3y 2z  4

Chapter: 12 Problem: 22

Elementary and Intermediate Algebra 5
Write a system of two equations in two variables to solve each problem. Maps. Refer to the illustration in the next column. The distance between Austin and Houston is 4 miles less than twice the distance between Austin and San Antonio. The round trip from Houston to Austin to San Antonio and back to

Chapter: 12 Problem: 12.3.22

Elementary and Intermediate Algebra 5
NBA Centers. Together, Shaquille ONeil (Boston Celtics) and Dwight Howard (Orlando Magic) weigh 590 pounds. Together ONeil and Yao Ming (Houston Rockets) weigh 635 pounds. Together, Howard and Yao Ming weigh 575 pounds. Find the weight of each center.

Chapter: 12 Problem: 12.4.22

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augmented matrix 3 6 9 0 1 5 2 1 2 2 2 5 . See Example 2. 1 2R3

Chapter: 12 Problem: 12.1.22

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 2. e 3x y  3 y  2x 7 e

Chapter: 12 Problem: 12.5.22

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` 3 2 12 8 `

Chapter: 12 Problem: 12.2.23

Elementary and Intermediate Algebra 5
Solve each system. See Example 3. 3x 3z  6 4y 7x 5z  46 2y 4x  31 z

Chapter: 12 Problem: 23

Elementary and Intermediate Algebra 5
Write a system of two equations in two variables to solve each problem. Riverboats. A Mississippi riverboat travels 30 miles downstream in three hours and then makes the return trip upstream in five hours. Find the speed of the riverboat in still water and the speed of the current.

Chapter: 12 Problem: 12.3.23

Elementary and Intermediate Algebra 5
Potpourri. The owner of a home decorating shop wants to mix dried rose petals selling for $6 per pound, dried lavender selling for $5 per pound, and buckwheat hulls selling for $4 per pound to get 10 pounds of a mixture that would sell for $5.50 per pound. She wants to use twice as many pounds of ros

Chapter: 12 Problem: 12.4.23

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augmented matrix 3 6 9 0 1 5 2 1 2 2 2 5 . See Example 2. R1  R2

Chapter: 12 Problem: 12.1.23

Elementary and Intermediate Algebra 5
Solve each system by graphing, if possible. If a system is inconsistent or if the equations are dependent, state this. See Examples 3 and 4. e 3x 3y  4 x y  4

Chapter: 12 Problem: 12.5.23

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` ` 9 1 10 5 `

Chapter: 12 Problem: 12.2.24

Elementary and Intermediate Algebra 5
Solve each system. See Example 3. 5x 6z  4y 21 9x 2y  3z 47 3x y  19

Chapter: 12 Problem: 24

Elementary and Intermediate Algebra 5
Write a system of two equations in two variables to solve each problem. Mixing Solutions. How many fluid ounces of 6% sucrose solution must be mixed with 18% sucrose solution to make 750 ounces of a 10% sucrose solution?

Chapter: 12 Problem: 12.3.24

Elementary and Intermediate Algebra 5
Mixing Nuts. The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $9 per pound, and some Brazil nuts worth $9 per pound to get 50 pounds of a mixture that will sell for $6 per pound. She uses 15 fewer pounds of cashews than peanuts. How many pounds of each did s

Chapter: 12 Problem: 12.4.24

Elementary and Intermediate Algebra 5
Perform each of the following elementary row operations on the augmented matrix 3 6 9 0 1 5 2 1 2 2 2 5 . See Example 2. 2R2  R3

Chapter: 12 Problem: 12.1.24

Elementary and Intermediate Algebra 5
Solve each system by graphing, if possible. If a system is inconsistent or if the equations are dependent, state this. See Examples 3 and 4. e 5x 2y  6 10x 4y  12 e

Chapter: 12 Problem: 12.5.24

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` 7 7 6 4 ` `

Chapter: 12 Problem: 12.2.25

Elementary and Intermediate Algebra 5
Solve each system. See Example 3. 2x z  2 y 8x 3y  2 6x 2y 3z  4

Chapter: 12 Problem: 25

Elementary and Intermediate Algebra 5
Write a system of two equations in two variables to solve each problem. Investing. One year, a couple invested a total of $10,000 in two projects. The first investment, a mini-mall, made a 6% profit. The other investment, a skateboard park, made a 12% profit. If their investments made $960, how much

Chapter: 12 Problem: 12.3.25

Elementary and Intermediate Algebra 5
Piggy Banks. When a child breaks open her piggy bank, she finds a total of 64 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $6. If the nickels were dimes, and the dimes were nickels, the value of the coins would be $5. How many nickels, dimes, and quarters were in

Chapter: 12 Problem: 12.4.25

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 3. e x  y 2 x y 0

Chapter: 12 Problem: 12.1.25

Elementary and Intermediate Algebra 5
Solve each system by graphing, if possible. If a system is inconsistent or if the equations are dependent, state this. See Examples 3 and 4. e x  3 2y 2x 4y  6

Chapter: 12 Problem: 12.5.25

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` ` 8 8 9 9 `

Chapter: 12 Problem: 12.2.26

Elementary and Intermediate Algebra 5
Solve each system. See Example 3. 3y z  1 x 2z  9 6y 9y 3z  9 2x

Chapter: 12 Problem: 26

Elementary and Intermediate Algebra 5
Write a system of two equations in two variables to solve each problem. Cooking. Two teaspoons and five tablespoons is a total of 85 milliliters of liquid. Five teaspoons and two tablespoons is a total of 55 milliliters of liquid. Find the number of milliliters in one teaspoon and the number of milli

Chapter: 12 Problem: 12.3.26

Elementary and Intermediate Algebra 5
Theater Seating. The illustration shows the cash receipts and the ticket prices from two sold-out Sunday performances of a play. Find the number of seats in each of the three sections of the 800-seat theater. Box seat tickets Matinee $20 Evening $30 Founder's circle tickets Matinee $30 Evening $40 St

Chapter: 12 Problem: 12.4.26

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 3. e x  y 3 x y 1 e x

Chapter: 12 Problem: 12.1.26

Elementary and Intermediate Algebra 5
Solve each system by graphing, if possible. If a system is inconsistent or if the equations are dependent, state this. See Examples 3 and 4. e 3x  5 2y 3x 2y  7

Chapter: 12 Problem: 12.5.26

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Example 1. ` 20 3 20 3 `

Chapter: 12 Problem: 12.2.27

Elementary and Intermediate Algebra 5
Solve each system using elimination. See Example 4. x y 3z  35 x 3y  20 2y z  35

Chapter: 12 Problem: 27

Elementary and Intermediate Algebra 5
Use a check to determine whether is a solution of the system: x y  z 4 x  2y z 1 x  y 3z 1

Chapter: 12 Problem: 12.3.27

Elementary and Intermediate Algebra 5
Astronomy. Comets have elliptical orbits, but the orbits of some comets are so large that they look much like a parabola. Find an equation of the form y  ax2 bx c for the parabola that closely describes the orbit of the comet shown in the illustration. 2, 5) y x Sun 2 4 6 2

Chapter: 12 Problem: 12.4.27

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 3. e 2x  y 1 x  2y 4

Chapter: 12 Problem: 12.1.27

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 5. 1 6 x  1 3 y 1 2 y  x

Chapter: 12 Problem: 12.5.27

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 321 412 531

Chapter: 12 Problem: 12.2.28

Elementary and Intermediate Algebra 5
Solve each system using elimination. See Example 4. x 2y 3z  11 5x y  13 2x 3z  11

Chapter: 12 Problem: 28

Elementary and Intermediate Algebra 5
A system of three linear equations in three variables is graphed on the right. Does the system have a solution? If so, how many solutions does it have?

Chapter: 12 Problem: 12.3.28

Elementary and Intermediate Algebra 5
Curve Fitting. Find an equation of the form y  ax2 bx c for the parabola shown in the illustration. (1, 1) (3, 7) (1, 3) x y

Chapter: 12 Problem: 12.4.28

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 3. e 5x 4y 10 x 7y 2 e

Chapter: 12 Problem: 12.1.28

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 5. x  y 3 1 4 x 1 6 y  1 3 1

Chapter: 12 Problem: 12.5.28

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 623 154 235

Chapter: 12 Problem: 12.2.29

Elementary and Intermediate Algebra 5
Solve each system using elimination. See Example 4. 3x 2y z  27 6x 3y  2 3y 2z  8

Chapter: 12 Problem: 29

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. x  2y  3z 7 x 3y 2z 8 2x y z 7

Chapter: 12 Problem: 12.3.29

Elementary and Intermediate Algebra 5
Walkways. A circular sidewalk is to be constructed in a city park. The walk is to pass by three particular areas of the park, as shown in the illustration. If an equation of a circle is of the form x 2 y2 Cx Dy E  0, find an equation that describes the path of the sidewalk by determining , , and

Chapter: 12 Problem: 12.4.29

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 4. x  y  z 6 x  2y  z 8 x  y  2z 7

Chapter: 12 Problem: 12.1.29

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 5. 1 3 x 7 6 y  1 2 1 5 y  1 3 x 7 15 x

Chapter: 12 Problem: 12.5.29

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 1 2 3 2 11 3 2 1

Chapter: 12 Problem: 12.2.30

Elementary and Intermediate Algebra 5
Solve each system using elimination. See Example 4. 2x y 4 x 2y  8z 7 y 4z  5

Chapter: 12 Problem: 30

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. x  y  z 4 x 2y z 1 2x y 2z 1 x 2

Chapter: 12 Problem: 12.3.30

Elementary and Intermediate Algebra 5
Curve Fitting. The equation of a circle is of the form x2 y2 Cx Dy E  0. Find an equation of the circle shown in the illustration by determining C, D, and E. 6, 0) (3, 3) (0, 0) x y 1 1 1 2 3 4

Chapter: 12 Problem: 12.4.30

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 4. x  y  z 6 x  2y  z 8 x  y  2z 9

Chapter: 12 Problem: 12.1.30

Elementary and Intermediate Algebra 5
Solve each system by graphing. See Example 5. 3 5 x 1 4 y  11 10 1 8 x  13 24 1 3 y

Chapter: 12 Problem: 12.5.30

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 11 2 2 1 2 31 3

Chapter: 12 Problem: 12.2.31

Elementary and Intermediate Algebra 5
Solve each system using substitution. See Example 5. r s 3t  21 r 4s  9 5s t  4

Chapter: 12 Problem: 31

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. x  y z 3 x  z 2 2x y 3 2z

Chapter: 12 Problem: 12.3.31

Elementary and Intermediate Algebra 5
Explain why the following problem does not give enough information to answer the question: The sum of three integers is 48. If the first integer is doubled, the sum is 60. Find the integers.

Chapter: 12 Problem: 12.4.31

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 4. 3x  y 3z 5 x 2y  4z 10 x  y  z 13

Chapter: 12 Problem: 12.1.31

Elementary and Intermediate Algebra 5
Use a graphing calculator to solve each system. Give all answers to the nearest hundredth. See Using Your Calculator: Solving Systems by Graphing. e y  3.2x 1.5 y  2.7x 3.7

Chapter: 12 Problem: 12.5.31

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 251 034 126

Chapter: 12 Problem: 12.2.32

Elementary and Intermediate Algebra 5
Solve each system using substitution. See Example 5. r s 6t  12 r 6s  28 7s t  26

Chapter: 12 Problem: 32

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. b 4c 2 a b  2c 1 2a 2b 2 5c x 

Chapter: 12 Problem: 12.3.32

Elementary and Intermediate Algebra 5
Write an application problem that can be solved using a system of three equations in three variables.

Chapter: 12 Problem: 12.4.32

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. See Example 4. 2x  y 3z 1 3x 2y z 5 x 3y 2z 12 3x  y

Chapter: 12 Problem: 12.1.32

Elementary and Intermediate Algebra 5
Use a graphing calculator to solve each system. Give all answers to the nearest hundredth. See Using Your Calculator: Solving Systems by Graphing. e y  0.45x 5 y  5.55x 13.7 e y

Chapter: 12 Problem: 12.5.32

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 4 1 2 6 1 0 1 3 4

Chapter: 12 Problem: 12.2.33

Elementary and Intermediate Algebra 5
Solve each system using substitution. See Example 5. x 8z  30 3x y 4z  5 y 7z  30

Chapter: 12 Problem: 33

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. x  2z 10 3x  2y 3z 8 y  4z 6

Chapter: 12 Problem: 12.3.33

Elementary and Intermediate Algebra 5
Determine whether each equation defines to be a function of . If it does not, find two ordered pairs where more than one value of corresponds to a single value of x. y   1 x

Chapter: 12 Problem: 12.4.33

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. If the equations of a system are dependent or if a system is inconsistent, state this. See Example 5. e x 3y 9 2x  6y 18

Chapter: 12 Problem: 12.1.33

Elementary and Intermediate Algebra 5
Use a graphing calculator to solve each system. Give all answers to the nearest hundredth. See Using Your Calculator: Solving Systems by Graphing. e 1.7x 2.3y  3.2 y  0.25x 8.95 e

Chapter: 12 Problem: 12.5.33

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 1 4 1 3 0 2 3 1 2

Chapter: 12 Problem: 12.2.34

Elementary and Intermediate Algebra 5
Solve each system using substitution. See Example 5. x 6z  36 5x 3y 2z  20 y 4z  20

Chapter: 12 Problem: 34

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. x  3y  z 14 x 5y 19 3y  z 13 x

Chapter: 12 Problem: 12.3.34

Elementary and Intermediate Algebra 5
Determine whether each equation defines to be a function of . If it does not, find two ordered pairs where more than one value of corresponds to a single value of x. y 4   x

Chapter: 12 Problem: 12.4.34

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. If the equations of a system are dependent or if a system is inconsistent, state this. See Example 5. e 6x  12y 10 2x 4y 8 e

Chapter: 12 Problem: 12.1.34

Elementary and Intermediate Algebra 5
Use a graphing calculator to solve each system. Give all answers to the nearest hundredth. See Using Your Calculator: Solving Systems by Graphing. e 2.75x  12.9y 3.79 7.1x y  35.76 e

Chapter: 12 Problem: 12.5.34

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 8 3 1 1 02 3 9 4

Chapter: 12 Problem: 12.2.35

Elementary and Intermediate Algebra 5
Solve each system. If a system is inconsistent or if the equations are dependent, state this. See Examples 6 and 7. 7a 9b 2c  5 5a 14b c  11 2a 5b c  3

Chapter: 12 Problem: 35

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. 2x  3y  z 5 x  2y z 6 3x  y  2z 4 x 

Chapter: 12 Problem: 12.3.35

Elementary and Intermediate Algebra 5
Determine whether each equation defines to be a function of . If it does not, find two ordered pairs where more than one value of corresponds to a single value of x. xy  9

Chapter: 12 Problem: 12.4.35

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. If the equations of a system are dependent or if a system is inconsistent, state this. See Example 5. e 4x 4y 12 x  y 3 e 6

Chapter: 12 Problem: 12.1.35

Elementary and Intermediate Algebra 5
Solve each system by substitution. See Example 6. e y  3x x y  8

Chapter: 12 Problem: 12.5.35

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 12 1 37 3 4 3 5

Chapter: 12 Problem: 12.2.36

Elementary and Intermediate Algebra 5
Solve each system. If a system is inconsistent or if the equations are dependent, state this. See Examples 6 and 7. 3x 4y z  10 x 2y z  3 2x y z  5

Chapter: 12 Problem: 36

Elementary and Intermediate Algebra 5
Solve each system, if possible. If a system is inconsistent or if the equations are dependent, state this. 3x  3y  6z 6 x y 2z 2 2x  2y  4z 4 2x 

Chapter: 12 Problem: 12.3.36

Elementary and Intermediate Algebra 5
Determine whether each equation defines to be a function of . If it does not, find two ordered pairs where more than one value of corresponds to a single value of x. y  0 x

Chapter: 12 Problem: 12.4.36

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. If the equations of a system are dependent or if a system is inconsistent, state this. See Example 5. e 5x 15y 10 x 3y 2 e

Chapter: 12 Problem: 12.1.36

Elementary and Intermediate Algebra 5
Solve each system by substitution. See Example 6. e y  x 2 x 2y  16 e

Chapter: 12 Problem: 12.5.36

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 147 258 369

Chapter: 12 Problem: 12.2.37

Elementary and Intermediate Algebra 5
Solve each system. If a system is inconsistent or if the equations are dependent, state this. See Examples 6 and 7. 7x y z  10 x 3y z  2 x 2y z  1

Chapter: 12 Problem: 37

Elementary and Intermediate Algebra 5
Teddy Bears. A toy company produces three sizes of teddy bears. Each day, the total cost to produce the bears is $850, the total time needed to stuff them is 480 minutes, and the total time needed to sew them is 1,260 minutes. Use the information in the table to determine how many of each type of ted

Chapter: 12 Problem: 12.3.37

Elementary and Intermediate Algebra 5
Determine whether each equation defines to be a function of . If it does not, find two ordered pairs where more than one value of corresponds to a single value of x. x 1  0 y 0

Chapter: 12 Problem: 12.4.37

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. If the equations of a system are dependent or if a system is inconsistent, state this. 2x  3y z 8 x y z 2 4x  3y  z 6

Chapter: 12 Problem: 12.1.37

Elementary and Intermediate Algebra 5
Solve each system by substitution. See Example 6. e x  2 y 2x y  13

Chapter: 12 Problem: 12.5.37

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 120 012 001

Chapter: 12 Problem: 12.2.38

Elementary and Intermediate Algebra 5
Solve each system. If a system is inconsistent or if the equations are dependent, state this. See Examples 6 and 7. 2a b c  6 5a 2b 4c  30 a b c  8

Chapter: 12 Problem: 38

Elementary and Intermediate Algebra 5
Financial Planning. A financial planner invested $22,000 in three accounts, paying 5%, 6%, and 7% annual interest. She invested $2,000 more at 6% than at 5%. If the total interest earned in one year was $1,370, how much was invested at each rate?

Chapter: 12 Problem: 12.3.38

Elementary and Intermediate Algebra 5
Determine whether each equation defines to be a function of . If it does not, find two ordered pairs where more than one value of corresponds to a single value of x. y  1 x2

Chapter: 12 Problem: 12.4.38

Elementary and Intermediate Algebra 5
Use matrices to solve each system of equations. If the equations of a system are dependent or if a system is inconsistent, state this. 2a  b  3c 3 2a b  c 5 4a 2b  2c 2

Chapter: 12 Problem: 12.1.38

Elementary and Intermediate Algebra 5
Solve each system by substitution. See Example 6. e x  5 y 3x 2y  7 e

Chapter: 12 Problem: 12.5.38

Elementary and Intermediate Algebra 5
Evaluate each determinant. See Examples 2 and 3. 101 010 111