Elementary Algebra
Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 5.1, Problem 65E

In the following exercises, solve.

65. Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How many ounces of nuts and how many ounces of raisins does he need to make 24 ounces of party mix?

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Question 1. Solve the system - x1 x2 + 3x3 + 2x4 -x1 + x22x3 + x4 2x12x2+7x3+7x4 Question 2. Consider the system = 1 =-2 = 1 3x1 - x2 + ax3 = 1 x1 + 3x2 + 2x3 x12x2+2x3 = -b = 4 1 For what values of a, b will the system be inconsistent? 2 For what values of a, b will the system have only one solution? For what values of a, b will the saystem have infinitely many solutions?

Chapter 5 Solutions

Elementary Algebra

Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Solve each system by graphing: {x3y=3x+y=5 .Ch. 5.1 - Solve each system by graphing: {x+y=13x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y=2x+2y=x4 .Ch. 5.1 - Solve each system by graphing: {y=3x+3y=x+7 .Ch. 5.1 - Solve each system by graphing: {x+y=12x+y=10 .Ch. 5.1 - Solve each system by graphing: {2x+y=6x+y=1 .Ch. 5.1 - Solve each system by graphing: {x+y=6xy=2 .Ch. 5.1 - Solve each system by graphing: {x+y=2xy=8 .
Ch. 5.1 - Solve each system by graphing: {y=1x+3y=6 .Ch. 5.1 - Solve each system by graphing: {x=43x2y=24 .Ch. 5.1 - Solve each system by graphing: {y= 1 4x+2x+4y=8 .Ch. 5.1 - Solve each system by graphing: {y=3x16x2y=6 .Ch. 5.1 - Solve each system by graphing: {y=3x66x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y= 1 2x42x4y=16 .Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Manny is making 12 quarts of orange juice from...Ch. 5.1 - Alisha is making an 18 ounce coffee beverage that...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - In the following exercises, solve. 63. Molly is...Ch. 5.1 - In the following exercises, solve. 64. Jamal is...Ch. 5.1 - In the following exercises, solve. 65. Enrique is...Ch. 5.1 - In the following exercises, solve. 66. Owen is...Ch. 5.1 - Leo is planning his spring flower garden. He wants...Ch. 5.1 - A marketing company surveys 1,200 people. They...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.2 - Solve the system by substitution. {2x+y=11x+3y=9Ch. 5.2 - Solve the system by substitution. {x+3y=104x+y=18Ch. 5.2 - Solve the system by substitution. {x+y=6y=3x2Ch. 5.2 - Solve the system by substitution. {2xy=1y=3x6Ch. 5.2 - Solve the system by substitution. {4x+y=23x+2y=1Ch. 5.2 - Solve the system by substitution. {x+y=44xy=2Ch. 5.2 - Solve the system by substitution. {x5y=134x3y=1Ch. 5.2 - Solve the system by substitution. {x6y=62x4y=4Ch. 5.2 - Solve the system by substitution. {y=3x16y= 1 3xCh. 5.2 - Solve the system by substitution. {y=x+10y= 1 4xCh. 5.2 - Solve the system by substitution. {x4y=43x+4y=0Ch. 5.2 - Solve the system by substitution. {4xy=02x3y=5Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution. {3x+2y=9y= 3...Ch. 5.2 - Solve the system by substitution. {5x3y=2y= 5 3x4Ch. 5.2 - The sum of two numbers is 10. One number is 4 less...Ch. 5.2 - The sum of two number is 6 . One number is 10 less...Ch. 5.2 - The perimeter of a rectangle is 40. The length is...Ch. 5.2 - The perimeter of a rectangle is 58. The length is...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - Geraldine has been offered positions by two...Ch. 5.2 - Kenneth currently sells suits for company A at a...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - When Gloria spent 15 minutes on the elliptical...Ch. 5.2 - Stephanie left Riverside, California, driving her...Ch. 5.2 - Solve the system of equations {x+y=10xy=6 (a)by...Ch. 5.2 - Solve the system of equations {3x+y=12x=y8 by...Ch. 5.3 - Solve the system by elimination. {3x+y=52x3y=7Ch. 5.3 - Solve the system by elimination. {4x+y=52x2y=2Ch. 5.3 - Solve the system by elimination. {2x+y=5xy=4Ch. 5.3 - Solve the system by elimination. {x+y=32xy=1Ch. 5.3 - Solve the system by elimination. {4x3y=15x9y=4Ch. 5.3 - Solve the system by elimination. {3x+2y=26x+5y=8Ch. 5.3 - Solve the system by elimination. {3x4y=95x+3y=14Ch. 5.3 - Solve the system by elimination. {7x+8y=43x5y=27Ch. 5.3 - Solve the system by elimination. { 1 3x 1 2y=1 3...Ch. 5.3 - Solve the system by elimination. {x+ 3 5y= 1 5 1...Ch. 5.3 - Solve the system by elimination. {5x3y=15y=5+ 5 3xCh. 5.3 - Solve the system by elimination. {x+2y=6y= 1 2x+3Ch. 5.3 - Solve the system by elimination. {3x+2y=89x6y=13Ch. 5.3 - Solve the system by elimination. {7x3y=214x+6y=8Ch. 5.3 - The sum of two numbers is 42. Their difference is...Ch. 5.3 - The sum of two numbers is 15 . Their difference is...Ch. 5.3 - Malik stops at the grocery store to buy a bag of...Ch. 5.3 - To get her daily intake of fruit for the day,...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - \In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, translate to a system...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - In the following exercises, decide whether it...Ch. 5.3 - Norris can row 3 miles upstream against the...Ch. 5.3 - Josie wants to make 10 pounds of trail mix using...Ch. 5.3 - Solve the system {x+y=105x+8y=56 (a)by...Ch. 5.3 - Solve the system {x+y=12y=4 1 2x (a) by...Ch. 5.4 - Translate to a system of equations: The sum of two...Ch. 5.4 - Translate to a system of equations: The sum of two...Ch. 5.4 - Translate to a system of equations: A couple has a...Ch. 5.4 - Translate to a system of equations: A senior...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - Translate to a system of equations and then solve:...Ch. 5.4 - In the following exercises, translate to a system...Ch. 5.4 - In the following exercises, translate to a system...Ch. 5.4 - In the following exercises, translate to a system...Ch. 5.4 - 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Write an application problem similar to...Ch. 5.4 - Write a uniform motion problem similar to Example...Ch. 5.5 - Translate to a system of equations and solve: The...Ch. 5.5 - Translate to a system of equations and solve: A...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve: Juan...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve: Leon...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - Translate to a system of equations and solve:...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - In the following exercises, translate to a system...Ch. 5.5 - 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Determine whether the ordered pair is a solution...Ch. 5.6 - Solve the system by graphing. {y3x+2yx1Ch. 5.6 - Solve the system by graphing. {y 1 2x+3y3x4Ch. 5.6 - Solve the system by graphing. {x+y2y 2 3x1Ch. 5.6 - Solve the system by graphing. {3x2y6y 1 4x+5Ch. 5.6 - Solve the system by graphing. {y3x2y1Ch. 5.6 - Solve the system by graphing. {x4x2y4Ch. 5.6 - Solve the system by graphing. {3x2y12y 3 2x+1Ch. 5.6 - Solve the system by graphing. {x+3y8y 1 3x2Ch. 5.6 - Solve the system by graphing. {y3x+13x+y4Ch. 5.6 - Solve the system by graphing. {y 1 4x+2x+4y4Ch. 5.6 - A trailer can carry a maximum weight of 160 pounds...Ch. 5.6 - Mary needs to purchase supplies of answer sheets...Ch. 5.6 - Tension needs to eat at least an extra 1,000...Ch. 5.6 - Philip’s doctor tells him he should add at least...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - 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