 7.1.1: In Exercises 1 4, determine whether the given ordered pair is a sol...
 7.1.2: In Exercises 1 4, determine whether the given ordered pair is a sol...
 7.1.3: In Exercises 1 4, determine whether the given ordered pair is a sol...
 7.1.4: In Exercises 1 4, determine whether the given ordered pair is a sol...
 7.1.5: In Exercises 5 18, solve each system by the substitution method.
 7.1.6: In Exercises 5 18, solve each system by the substitution method.
 7.1.7: In Exercises 5 18, solve each system by the substitution method.
 7.1.8: In Exercises 5 18, solve each system by the substitution method.
 7.1.9: In Exercises 5 18, solve each system by the substitution method.
 7.1.10: In Exercises 5 18, solve each system by the substitution method.
 7.1.11: In Exercises 5 18, solve each system by the substitution method.
 7.1.12: In Exercises 5 18, solve each system by the substitution method.
 7.1.13: In Exercises 5 18, solve each system by the substitution method.
 7.1.14: In Exercises 5 18, solve each system by the substitution method.
 7.1.15: In Exercises 5 18, solve each system by the substitution method.
 7.1.16: In Exercises 5 18, solve each system by the substitution method.
 7.1.17: In Exercises 5 18, solve each system by the substitution method.
 7.1.18: In Exercises 5 18, solve each system by the substitution method.
 7.1.19: In Exercises 19 30, solve each system by the addition method.
 7.1.20: In Exercises 19 30, solve each system by the addition method.
 7.1.21: In Exercises 19 30, solve each system by the addition method.
 7.1.22: In Exercises 19 30, solve each system by the addition method.
 7.1.23: In Exercises 19 30, solve each system by the addition method.
 7.1.24: In Exercises 19 30, solve each system by the addition method.
 7.1.25: In Exercises 19 30, solve each system by the addition method.
 7.1.26: In Exercises 19 30, solve each system by the addition method.
 7.1.27: In Exercises 19 30, solve each system by the addition method.
 7.1.28: In Exercises 19 30, solve each system by the addition method.
 7.1.29: In Exercises 19 30, solve each system by the addition method.
 7.1.30: In Exercises 19 30, solve each system by the addition method.
 7.1.31: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.32: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.33: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.34: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.35: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.36: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.37: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.38: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.39: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.40: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.41: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.42: In Exercises 31 42, solve by the method of your choice. Identify sy...
 7.1.43: The sum of two numbers is 7. If one number is subtracted from the o...
 7.1.44: The sum of two numbers is 2. If one number is subtracted from the o...
 7.1.45: Three times a first number decreased by a second number is 1. The f...
 7.1.46: The sum of three times a first number and twice a second number is ...
 7.1.47: In Exercises 47 48, solve each system by the method of your choice.
 7.1.48: In Exercises 47 48, solve each system by the method of your choice.
 7.1.49: In Exercises 49 50, solve each system for and expressing either val...
 7.1.50: In Exercises 49 50, solve each system for and expressing either val...
 7.1.51: For the linear function and Find and b
 7.1.52: For the linear function and Find and b
 7.1.53: Write the linear system whose solution set is Express each equation...
 7.1.54: Write the linear system whose solution set is Express each equation...
 7.1.55: A wine company needs to blend a California wine with a 5% alcohol c...
 7.1.56: A jeweler needs to mix an alloy with a 16% gold content and an allo...
 7.1.57: For thousands of years, gold has been considered one of Earth s mos...
 7.1.58: In the Peanuts cartoon shown, solve the problem that is sending Pep...
 7.1.59: The manager of a candystand at a large multiplex cinema has a popul...
 7.1.60: A grocer needs to mix raisins at $2.00 per pound with granola at $3...
 7.1.61: When a small plane flies with the wind, it can travel 800 miles in ...
 7.1.62: When a plane flies with the wind, it can travel 4200 miles in 6 hou...
 7.1.63: A boat s crew rowed 16 kilometers downstream, with the current, in ...
 7.1.64: A motorboat traveled 36 miles downstream, with the current, in 1.5 ...
 7.1.65: With the current, you can canoe 24 miles in 4 hours. Against the sa...
 7.1.66: With the current, you can row 24 miles in 3 hours.Against the same ...
 7.1.67: How many radios must be produced and sold for the company to break ...
 7.1.68: More than how many radios must be produced and sold for the company...
 7.1.69: Use the formulas shown in the voice balloons to find Describe what ...
 7.1.70: Use the formulas shown in the voice balloons to find Describe what ...
 7.1.71: a. Use the formulas shown in the voice balloons to write the compan...
 7.1.72: a. Use the formulas shown in the voice balloons to write the compan...
 7.1.73: A company that manufactures small canoes has a fixed cost of $18,00...
 7.1.74: A company that manufactures bicycles has a fixed cost of $100,000. ...
 7.1.75: You invest in a new play. The cost includes an overhead of $30,000,...
 7.1.76: You invested $30,000 and started a business writing greeting cards....
 7.1.77: The following models describe wages for lowskilled labor.a. Solve ...
 7.1.78: The following models describe demand and supply for threebedroom re...
 7.1.79: In each of the 1996, 2000, and 2004 presidential elections, 37% of ...
 7.1.80: The bar graph shows the percentage of Americans for and against the...
 7.1.81: We opened this section with a study showing that late in the semest...
 7.1.82: Although Social Security is a problem, some projections indicate th...
 7.1.83: In this exercise, let represent the number of years after 1985 and ...
 7.1.84: In this exercise, let represent the number of years after 1985 and ...
 7.1.85: One Mr. Goodbar and two Mounds bars contain 780 calories. Two Mr. G...
 7.1.86: One Snickers bar and two Reese s Peanut Butter Cups contain 737 cal...
 7.1.87: A collection of Halloween candy contains a total of five Mr. Goodba...
 7.1.88: A collection of Halloween candy contains a total of 12 Snickers bar...
 7.1.89: A hotel has 200 rooms. Those with kitchen facilities rent for $100 ...
 7.1.90: A new restaurant is to contain twoseat tables and fourseat tables...
 7.1.91: A rectangular lot whose perimeter is 360 feet is fenced along three...
 7.1.92: A rectangular lot whose perimeter is 320 feet is fenced along three...
 7.1.93: In Exercises 93 94, an isosceles triangle containing two angles wit...
 7.1.94: In Exercises 93 94, an isosceles triangle containing two angles wit...
 7.1.95: What is a system of linear equations? Provide an example with your ...
 7.1.96: What is the solution of a system of linear equations?
 7.1.97: Explain how to solve a system of equations using the substitution m...
 7.1.98: Explain how to solve a system of equations using the addition metho...
 7.1.99: When is it easier to use the addition method rather than the substi...
 7.1.100: When using the addition or substitution method, how can you tell if...
 7.1.101: When using the addition or substitution method, how can you tell if...
 7.1.102: Describe the breakeven point for a business
 7.1.103: Verify your solutions to any five exercises in Exercises 5 42 by us...
 7.1.104: Each equation in a system of linear equations has infinitely many o...
 7.1.105: Every linear system has infinitely many orderedpair solutions.
 7.1.106: I should mix 6 liters of a 50% acid solution with 4 liters of a 25%...
 7.1.107: You told me that you flew against the wind from Miami to Seattle, 2...
 7.1.108: Write a system of equations having as a solution set. (More than on...
 7.1.109: Solve the system for and in terms of and
 7.1.110: Two identical twins can only be distinguished by the characteristic...
 7.1.111: A marching band has 52 members, and there are 24 in the pompom squ...
 7.1.112: The group should write four different word problems that can be sol...
 7.1.113: Exercises 113 115 will help you prepare for the material covered in...
 7.1.114: Exercises 113 115 will help you prepare for the material covered in...
 7.1.115: Write an equation involving and based on the following description:...
Solutions for Chapter 7.1: Systems of Linear Equations in Two Variables
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 7.1: Systems of Linear Equations in Two Variables
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus, edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.1: Systems of Linear Equations in Two Variables includes 115 full stepbystep solutions. Since 115 problems in chapter 7.1: Systems of Linear Equations in Two Variables have been answered, more than 67348 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780321559845.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Additive inverse of a real number
The opposite of b , or b

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Cosecant
The function y = csc x

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Expanded form
The right side of u(v + w) = uv + uw.

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Identity properties
a + 0 = a, a ? 1 = a

Inverse properties
a + 1a2 = 0, a # 1a

Logarithmic form
An equation written with logarithms instead of exponents

Measure of an angle
The number of degrees or radians in an angle

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Reflection across the xaxis
x, y and (x,y) are reflections of each other across the xaxis.

Slopeintercept form (of a line)
y = mx + b

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

Vertical translation
A shift of a graph up or down.