Solved: ?Fill in each blank so that the resulting statement is true.When

Fill in each blank so that the resulting statement is true. A system of two equations in two variables that contains at least one equation that cannot be expressed in the form \(A x+B y=C\) is called a system of __________ equations. Equation Transcription: Text Transcription: Ax + By = C

Fill in each blank so that the resulting statement is true. When solving \(\left\{\begin{array}{l} x^{2}-4 y=4 \\ x+y=-1 \end{array}\right.\) by the substitution method, we obtain \(x=-4\) or \(x=0\), so the solution set is __________. Equation Transcription: { Text Transcription: {_x + y = -1 ^x^2 - 4y = 4 x = -4 x = 0

Fill in each blank so that the resulting statement is true. When solving \(\left\{\begin{array}{l} 3 x^{2}+2 y^{2}=35 \\ 4 x^{2}+3 y^{2}=48 \end{array}\right.\) by the addition method, we can eliminate \(x^{2}\) by multiplying the first equation by \(-4\) and the second equation by __________ and then adding the equations. Equation Transcription: { -4 Text Transcription: {_4x^2 + 3y^2 = 48 ^3x^2 + 2y^2 = 35 x^2 -4

Fill in each blank so that the resulting statement is true. When solving \(\left\{\begin{array}{l} x^{2}+4 y^{2}=16 \\ x^{2}-y^{2}=1 \end{array}\right.\) by the addition method, we obtain \(y^{2}=3\), so the solution set is __________. Equation Transcription: { Text Transcription: {_x^2 - y^2 = 1 ^x^2 + 4y^2 = 16 y^2 = 3

Fill in each blank so that the resulting statement is true. When solving \(\left\{\begin{array}{l} x^{2}+y^{2}=13 \\ x^{2}-y=7 \end{array}\right.\) by the addition method, we can eliminate \(x^{2}\) by multiplying the second equation by __________ and then adding the equations. We obtain __________, a quadratic equation in \(y\). Equation Transcription: { y Text Transcription: {_x^2 - y = 7 ^x^2 + y^2 = 13 x^2 y

Fill in each blank so that the resulting statement is true. When solving \(\left\{\begin{array}{l} x^{2}+4 y^{2}=20 \\ x y=4 \end{array}\right.\) by the substitution method, we can eliminate \(y\) by solving the second equation for \(y\). We obtain \(y=\) __________. Then we substitute __________ for __________ in the first equation. Equation Transcription: { y Text Transcription: {_x^2 - y = 7 ^x^2 + y^2 = 13 y y =

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x+y=2 \\ y=x^{2}-4 \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^2 - 4 ^x+y=2

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x-y=-1 \\ y=x^{2}+1 \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^2 + 1 ^x-y=-1

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x+y=2 \\ y=x^{2}-4 x+4 \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^2 - 4x + 4 ^x+y=2

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} 2 x+y=-5 \\ y=x^{2}+6 x+7 \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^2 + 6x + 7 ^2x+y=-5

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} y=x^{2}-4 x-10 \\ y=-x^{2}-2 x+14 \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^2 - 2x + 14 ^y=x^2 - 4x - 10

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} y=x^{2}+4 x+5 \\ y=x^{2}+2 x-1 \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^2 - 2x + 14 ^y=x^2 - 4x - 10

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x^{2}+y^{2}=25 \\ x-y=1 \end{array}\right.\) Equation Transcription: Text Transcription: { _x-y=1 ^x^2+y^2=25

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x^{2}+y^{2}=5 \\ 3 x-y=5 \end{array}\right.\) Equation Transcription: Text Transcription: { _3x-y=5 ^x^2+y^2=5

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x y=6 \\ 2 x-y=1 \end{array}\right.\) Equation Transcription: Text Transcription: { _2x-y=1 ^xy=6

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x y=-12 \\ x-2 y+14=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _x-2y+14=0 ^xy=-12

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} y^{2}=x^{2}-9 \\ 2 y=x-3 \end{array}\right.\) Equation Transcription: Text Transcription: { _2y=x-3 ^y^2=x^2-9

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x^{2}+y=4 \\ 2 x+y=1 \end{array}\right.\) Equation Transcription: Text Transcription: { _2x+y=1 ^x^2+y=4

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x y=3 \\ x^{2}+y^{2}=10 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2+y^2=10 ^xy=3

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x y=4 \\ x^{2}+y^{2}=8 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2+y^2=8 ^xy=4

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x+y=1 \\ x^{2}+x y-y^{2}=-5 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2+xy-y^2=-5 ^x+y=1

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x+y=-3 \\ x^{2}+2 y^{2}=12 y+18 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2+2y^2=12y+18 ^x+y=-3

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} x+y=1 \\ (x-1)^{2}+(y+2)^{2}=10 \end{array}\right.\) Equation Transcription: Text Transcription: { _(x-1)^2 + (y+2)^2 = 10 ^x+y=1

In Exercises 1–18, solve each system by the substitution method. \(\left\{\begin{array}{l} 2 x+y=4 \\ (x+1)^{2}+(y-2)^{2}=4 \end{array}\right.\) Equation Transcription: Text Transcription: { _(x+1)^2 + (y-2)^2 = 4 ^2x+y=4

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} x^{2}+y^{2}=13 \\ x^{2}-y^{2}=5 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2-y^2=5 ^x^2+y^2=13

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} 4 x^{2}-y^{2}=4 \\ 4 x^{2}+y^{2}=4 \end{array}\right.\) Equation Transcription: Text Transcription: { _4x^2+y^2=4 ^4x^2-y^2=4

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} x^{2}-4 y^{2}=-7 \\ 3 x^{2}+y^{2}=31 \end{array}\right.\) Equation Transcription: Text Transcription: { _3x^2+y^2=31 ^x^2-4y^2=-7

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} 3 x^{2}-2 y^{2}=-5 \\ 2 x^{2}-y^{2}=-2 \end{array}\right.\) Equation Transcription: Text Transcription: { _3x^2-y^2=-2 ^3x^2-2y^2=-5

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} 3 x^{2}+4 y^{2}-16=0 \\ 2 x^{2}-3 y^{2}-5=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _2x^2-3y^2-5=0 ^3x^2+4y^2-16=0

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{r} 16 x^{2}-4 y^{2}-72=0 \\ x^{2}-y^{2}-3=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2-y^2-3=0 ^16x^2-4y^2-73=0

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} x^{2}+y^{2}=25 \\ (x-8)^{2}+y^{2}=41 \end{array}\right.\) Equation Transcription: Text Transcription: { _(x-8)^2 + y^2 = 41 ^x^2 + y^2 = 25

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} x^{2}+y^{2}=5 \\ x^{2}+(y-8)^{2}=41 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 + (y-8)^2 = 41 ^x^2 + y^2 = 5

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} y^{2}-x=4 \\ x^{2}+y^{2}=4 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 + y^2 = 4 ^y^2 - x = 4

In Exercises 19–28, solve each system by the addition method. \(\left\{\begin{array}{l} x^{2}-2 y=8 \\ x^{2}+y^{2}=16 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 + y^2 = 16 ^x^2 - 2y = 8

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} 3 x^{2}+4 y^{2}=16 \\ 2 x^{2}-3 y^{2}=5 \end{array}\right.\) Equation Transcription: Text Transcription: { _2x^2 - 3y^2 = 53 ^x^2 + 4y^2 = 16

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x+y^{2}=4 \\ x^{2}+y^{2}=16 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 + y^2 = 16 x+y^2 = 4

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} 2 x^{2}+y^{2}=18 \\ x y=4 \end{array}\right.\) Equation Transcription: Text Transcription: { _xy=4 ^2x^2 + y^2 = 18

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x^{2}+4 y^{2}=20 \\ x y=4 \end{array}\right.\) Equation Transcription: Text Transcription: { _xy=4 ^x^2 + 4y^2 = 20

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x^{2}+4 y^{2}=20 \\ x+2 y=6 \end{array}\right.\) Equation Transcription: Text Transcription: { _x+2y=6 ^x^2 + 4y^2 = 20

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} 3 x^{2}-2 y^{2}=1 \\ 4 x-y=3 \end{array}\right.\) Equation Transcription: Text Transcription: { _4x-y=3 ^3x^2 - 2y^2 = 1

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x^{3}+y=0 \\ x^{2}-y=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 - y = 0 ^x^3 + y = 0

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{r} x^{3}+y=0 \\ 2 x^{2}-y=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _2x^2 - y = 0 ^x^3 + y = 0

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x^{2}+(y-2)^{2}=4 \\ x^{2}-2 y=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 - 2y = 0 ^x^2 + (y-2)^2 = 4

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x^{2}-y^{2}-4 x+6 y-4=0 \\ x^{2}+y^{2}-4 x-6 y+12=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 - y^2 - 4x - 6y + 12 = 0 ^x^2 - y^2 - 4x + 6y - 4 = 0

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} y=(x+3)^{2} \\ x+2 y=-2 \end{array}\right.\) Equation Transcription: Text Transcription: { _x+2y=-2 ^y=(x+3)^2

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} (x-1)^{2}+(y+1)^{2}=5 \\ 2 x-y=3 \end{array}\right.\) Equation Transcription: Text Transcription: { _2x-y=3 ^(x-1)^2 + (y+1)^2 = 5

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x^{2}+y^{2}+3 y=22 \\ 2 x+y=-1 \end{array}\right.\) Equation Transcription: Text Transcription: { _2x+y=-1 ^x^2 + y^2 + 3y = 22

In Exercises 29–42, solve each system by the method of your choice. \(\left\{\begin{array}{l} x-3 y=-5 \\ x^{2}+y^{2}-25=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 + y^2 -25 = 0 ^x-3y=-5

In Exercises 43–46, let \(x\) represent one number and let \(y\) represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The sum of two numbers is \(10\) and their product is \(24\). Find the numbers. Equation Transcription: Text Transcription: x y 10 24

In Exercises 43–46, let \(x\) represent one number and let \(y\) represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The sum of two numbers is \(20\) and their product is \(96\). Find the numbers. Equation Transcription: Text Transcription: x y 20 96

In Exercises 43–46, let \(x\) represent one number and let \(y\) represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The difference between the squares of two numbers is \(3\). Twice the square of the first number increased by the square of the second number is \(9\). Find the numbers. Equation Transcription: Text Transcription: x y 3 9

In Exercises 43–46, let \(x\) represent one number and let \(y\) represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. The difference between the squares of two numbers is \(5\). Twice the square of the second number subtracted from three times the square of the first number is \(19\). Find the numbers. Equation Transcription: Text Transcription: x y 5 19

In Exercises 47–52, solve each system by the method of your choice. \(\left\{\begin{array}{l} 2 x^{2}+x y=6 \\ x^{2}+2 x y=0 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 + 2xy = 0 ^2x^2 + xy = 6

In Exercises 47–52, solve each system by the method of your choice. \(\left\{\begin{array}{l} 4 x^{2}+x y=30 \\ x^{2}+3 x y=-9 \end{array}\right.\) Equation Transcription: Text Transcription: { _x^2 + 3xy = -9 ^4x^2 + xy = 30

In Exercises 47–52, solve each system by the method of your choice. \(\left\{\begin{array}{l} -4 x+y=12 \\ y=x^{3}+3 x^{2} \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^3 + 3x^2 ^-4x+7=12

In Exercises 47–52, solve each system by the method of your choice. \(\left\{\begin{array}{l} -9 x+y=45 \\ y=x^{3}+5 x^{2} \end{array}\right.\) Equation Transcription: Text Transcription: { _y=x^3 + 5x^2 ^-9x+y=45

In Exercises 47–52, solve each system by the method of your choice. \(\left\{\begin{array}{l} \frac{3}{x^{2}}+\frac{1}{y^{2}}=7 \\ \frac{5}{x^{2}}-\frac{2}{y^{2}}=-3 \end{array}\right.\) Equation Transcription: Text Transcription: { _5/x^2 - 2/y^2 = -3 ^3/x^2 + 1/y^2 = 7

In Exercises 47–52, solve each system by the method of your choice. \(\left\{\begin{array}{l} \frac{2}{x^{2}}+\frac{1}{y^{2}}=11 \\ \frac{4}{x^{2}}-\frac{2}{y^{2}}=-14 \end{array}\right.\) Equation Transcription: Text Transcription: { _4/x^2 - 2/y^2 = -14 ^2/x^2 + 1/y^2 = 11

In Exercises 53–54, make a rough sketch in a rectangular coordinate system of the graphs representing the equations in each system. The system, whose graphs are a line with positive slope and a parabola whose equation has a positive leading coefficient, has two solutions.

In Exercises 53–54, make a rough sketch in a rectangular coordinate system of the graphs representing the equations in each system. The system, whose graphs are a line with negative slope and a parabola whose equation has a negative leading coefficient, has one solution.

A planet’s orbit follows a path described by \(16 x^{2}+4 y^{2}=64\). A comet follows the parabolic path \(y=x^{2}-4\). Where might the comet intersect the orbiting planet? Equation Transcription: Text Transcription: 16x^2 + 4y^2 = 64 y = x^2 - 4

A system for tracking ships indicates that a ship lies on a path described by \(2 y^{2}-x^{2}=1\).The process is repeated and the ship is found to lie on a path described by \(2 x^{2}-y^{2}=1\). If it is known that the ship is located in the first quadrant of the coordinate system, determine its exact location. Equation Transcription: Text Transcription: 2y^2 - x^2 = 1 2x^2 - y^2 = 1

Find the length and width of a rectangle whose perimeter is \(36\) feet and whose area is \(77\) square feet. Equation Transcription: Text Transcription: 36 77

Find the length and width of a rectangle whose perimeter is \(40\) feet and whose area is \(96\) square feet. Equation Transcription: Text Transcription: 40 96

Use the formula for the area of a rectangle and the Pythagorean Theorem to solve Exercises 59–60. A small television has a picture with a diagonal measure of \(10\) inches and a viewing area of \(48\) square inches. Find the length and width of the screen. Equation Transcription: Text Transcription: 10 48

Use the formula for the area of a rectangle and the Pythagorean Theorem to solve Exercises 59–60. The area of a rug is \(108\) square feet and the length of its diagonal is \(15\) feet. Find the length and width of the rug. Equation Transcription: Text Transcription: 108 15

The figure shows a square floor plan with a smaller square area that will accommodate a combination fountain and pool. The floor with the fountain-pool area removed has an area of \(21\) square meters and a perimeter of \(24\) meters. Find the dimensions of the floor and the dimensions of the square that will accommodate the pool. Equation Transcription: Text Transcription: 21 24

The area of the rectangular piece of cardboard shown below is \(216\) square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of \(224\) cubic inches, find the length and width of the cardboard that must be used. Equation Transcription: Text Transcription: 216 224

The bar graph shows that compared to a century ago, work in the United States now involves mostly white-collar service jobs. Source: U.S. Department of Labor The data can be modeled by linear and quadratic functions. White collar - \(0.5 x-y=-18\) Blue Collar - \(y=-0.004 x^{2}+0.23 x+41\) Farming - \(0.4 x+y=35\) In each function, \(x\) represents the number of years after 1900 and \(y\) represents the percentage of the total U.S. labor force. a. Based on the information in the graph, it appears that there was a year when the percentage of white-collar workers in the labor force was the same as the percentage of blue-collar workers in the labor force. According to the graph, between which two decades did this occur? b. Solve a nonlinear system to determine the year described in part (a). Round to the nearest year. What percentage of the labor force, to the nearest percent, consisted of white-collar workers and what percentage consisted of blue-collar workers? c. According to the graph, for which year was the percentage of white-collar workers the same as the percentage of farmers? What percentage of U.S. workers were in each of these groups? d. Solve a linear system to determine the year described in part (c). Round to the nearest year. Use the models to find the percentage of the labor force consisting of white-collar workers and the percentage consisting of farmers. How well do your answers model the actual data specified in part (c)? Equation Transcription: Text Transcription: 0.5-y=-18 y=-0.004x^2 + 0.23x + 41 0.4x+y=35 x y

What is a system of nonlinear equations? Provide an example with your description.

Explain how to solve a nonlinear system using the substitution method. Use \(x^{2}+y^{2}=9\) and \(2x-y=3\) to illustrate your explanation. Equation Transcription: Text Transcription: x^2 + y^2 = 9 2x-y=3

Explain how to solve a nonlinear system using the addition method. Use \(x^{2}-y^{2}=5\) and \(3 x^{2}-2 y^{2}=19\) to illustrate your explanation. Equation Transcription: Text Transcription: x^2 - y^2 = 5 3x^2 - 2y^2 = 19

Verify your solutions to any five exercises from Exercises 1–42 by using a graphing utility to graph the two equations in the system in the same viewing rectangle. Then use the intersection feature to verify the solutions.

Write a system of equations, one equation whose graph is a line and the other whose graph is a parabola, that has no ordered pairs that are real numbers in its solution set. Graph the equations using a graphing utility and verify that you are correct.

Make Sense? In Exercises 69–72, determine whether each statement makes sense or does not make sense, and explain your reasoning. I use the same steps to solve nonlinear systems as I did to solve linear systems, although I don’t obtain linear equations when a variable is eliminated.

Make Sense? In Exercises 69–72, determine whether each statement makes sense or does not make sense, and explain your reasoning. I graphed a nonlinear system that modeled the orbits of Earth and Mars, and the graphs indicated the system had a solution with a real ordered pair.

Make Sense? In Exercises 69–72, determine whether each statement makes sense or does not make sense, and explain your reasoning. Without using any algebra, it’s obvious that the nonlinear system consisting of \(x^{2}+y^{2}=4\) and \(x^{2}+y^{2}=25\) does not have real-number solutions. Equation Transcription: Text Transcription: x^2 + y^2 = 4 x^2 + y^2 = 25

Make Sense? In Exercises 69–72, determine whether each statement makes sense or does not make sense, and explain your reasoning. I think that the nonlinear system consisting of \(x^{2}+y^{2}=36\) and \(y=(x-2)^{2}-3\) is easier to solve graphically than by using the substitution method or the addition method. Equation Transcription: Text Transcription: x^2 + y^2 = 36 y=(x-2)^2 - 3

In Exercises 73–76, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A system of two equations in two variables whose graphs are a circle and a line can have four real ordered-pair solutions.

In Exercises 73–76, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A system of two equations in two variables whose graphs are a parabola and a circle can have four real ordered-pair solutions.

In Exercises 73–76, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A system of two equations in two variables whose graphs are two circles must have at least two real ordered-pair solutions.

In Exercises 73–76, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A system of two equations in two variables whose graphs are a parabola and a circle cannot have only one real ordered-pair solution.

The points of intersection of the graphs of \(xy=20\) and \(x^{2}+y^{2}=41\) are joined to form a rectangle. Find the area of the rectangle. Equation Transcription: Text Transcription: xy=20 x^2 + y^2 = 41

Find \(a\) and \(b\) in this figure. Equation Transcription: Text Transcription: a b

Solve the systems in Exercises 79–80. \(\left\{\begin{array}{l} \log _{y} x=3 \\ \log _{y}(4 x)=5 \end{array}\right.\) Equation Transcription: Text Transcription: { _log_y (4x) = 5 ^log_y x=3

Solve the systems in Exercises 79–80. \(\left\{\begin{array}{l} \log x^{2}=y+3 \\ \log x=y-1 \end{array}\right.\) Equation Transcription: Text Transcription: { _log x=y-1 ^log x^2 = y+3

Exercises 81–83 will help you prepare for the material covered in the next section. In each exercise, graph the linear function. \(2 x-3 y=6\) Equation Transcription: Text Transcription: 2x-3y=6

Exercises 81–83 will help you prepare for the material covered in the next section. In each exercise, graph the linear function. \(f(x)=-\frac{2}{3} x\) Equation Transcription: Text Transcription: f(x) = -2/3 x

Exercises 81–83 will help you prepare for the material covered in the next section. In each exercise, graph the linear function. \(f(x)=-2\) Equation Transcription: Text Transcription: f(x) = -2