Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Concept explainers

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 4.2, Problem 4.40TI

Translate to a system of equations and then solve:

Alexis wants to build a rectangular dog run in her yard adjacent to her neighbor’s fence. She will use 136 feet of fencing to completely enclose the rectangular dog run. The length of the dog run along the neighbor’s fence will be 16 feet less than twice the width. Find the length and width of the dog run.

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Chapter 4 Solutions

Intermediate Algebra

Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Solve the system by graphing: {x3y=3x+y=5 .Ch. 4.1 - Solve the system by graphing: {x+y=13x+2y=12 .Ch. 4.1 - Solve the system by graphing: {x+y=12x+y=10 .Ch. 4.1 - Solve the system by graphing: {2x+y=6x+y=1 .Ch. 4.1 - Solve the system by graphing: {y=14x+2x+4y=8 .Ch. 4.1 - Solve the system by graphing: {y=3x16x2y=6 .Ch. 4.1 - Solve the system by graphing: {y=3x66x+2y=12 .Ch. 4.1 - Solve the system by graphing: {y=12x42x4y=16 .
Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Solve the system by substitution: {2x+y=11x+3y=9 .Ch. 4.1 - Solve the system by substitution: {2x+y=14x+3y=3 .Ch. 4.1 - Solve the system by substitution: {x4y=43x+4y=0 .Ch. 4.1 - Solve the system by substitution: {4xy=02x3y=5 .Ch. 4.1 - Solve the system by elimination: {3x+y=52x3y=7 .Ch. 4.1 - Solve the system by elimination: {4x+y=52x2y=2 .Ch. 4.1 - Solve the system by elimination: {3x4y=95x+3y=14 .Ch. 4.1 - Solve the system by elimination: {7x+8y=43x5y=27 .Ch. 4.1 - Solve the system by elimination: {13x12y=134xy=52...Ch. 4.1 - Solve the system by elimination:...Ch. 4.1 - Solve the system by elimination: {5x3y=15y=5+53x .Ch. 4.1 - Solve the system by elimination: {x+2y=6y=12x+3 .Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - 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In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In a system of linear equations, the two equations...Ch. 4.1 - Solve the system of equations by substitution and...Ch. 4.1 - Solve the system of equations by elimination and...Ch. 4.1 - Solve the system of equations {x+y=10xy=6 (a) by...Ch. 4.2 - The sum of two numbers is 10. One number is 4 less...Ch. 4.2 - The sum of two numbers is 6 . One number is 10...Ch. 4.2 - Geraldine has been offered positions by two...Ch. 4.2 - Kenneth currently sells suits for company A at a...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - 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In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - Write an application problem similar to Example...Ch. 4.2 - Write a uniform motion problem similar to Example...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve: Leon...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - 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The manufacturer of an energy drink spends $1.20...Ch. 4.3 - The manufacturer of a water bottle spends $5 to...Ch. 4.3 - Take a handful of two types of coins, and write a...Ch. 4.3 - In Example 4.28, we used elimination to solve the...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve: {3x4z=12y+3z=22x+3y=6 .Ch. 4.4 - Solve: {4x3z=53y+2z=73x+4y=6 .Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - The community college fine arts department sold...Ch. 4.4 - The community college soccer team sold three kinds...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In your own words explain the steps to solve a...Ch. 4.4 - How can you tell when a system of three linear...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - 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For the determinant |210301123| , find and then...Ch. 4.6 - Evaluate the determinant |324012231| , by...Ch. 4.6 - Evaluate the determinant |322214103| , by...Ch. 4.6 - Evaluate the determinant |213034343| by expanding...Ch. 4.6 - Evaluate the determinant |213122440| by expanding...Ch. 4.6 - Solve using Cramer’s rule: {3x+y=32x+3y=6 .Ch. 4.6 - Solve using Cramer’s rule: {x+y=22x+y=4 .Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Determine whether the points (3,2),(5,3), and...Ch. 4.6 - Determine whether the points (4,1),(6,2) and (2,4)...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - Explain the difference between a square matrix and...Ch. 4.6 - Explain what is meant by the minor of an entry in...Ch. 4.6 - Explain how to decide which row or column you will...Ch. 4.6 - Explain the steps for solving a system of...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Solve the system by graphing: {y3x+2yx1 .Ch. 4.7 - Solve the system by graphing: {y 1 2x+3y3x4 .Ch. 4.7 - Solve the system by graphing: {x+y2y 2 3x1 .Ch. 4.7 - Solve the system by graphing: {3x2y6y 1 4x+5 .Ch. 4.7 - Solve the system by graphing: {y3x2y1 .Ch. 4.7 - Solve the system by graphing: {x4x2y4 .Ch. 4.7 - Solve the system by graphing: {3x2y12y 3 2x+1 .Ch. 4.7 - Solve the system by graphing: {x+3y8y 1 3x2 .Ch. 4.7 - Solve the system by graphing: {y3x+13x+y4 .Ch. 4.7 - Solve the system by graphing: {y 1 4x+2x+4y4 .Ch. 4.7 - A trailer can carry a maximum weight of 160 pounds...Ch. 4.7 - Mary needs to purchase supplies of answer sheets...Ch. 4.7 - Tension needs to eat at least an extra 1,000...Ch. 4.7 - Philip’s doctor tells him he should add at least...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - 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In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - 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