Can you do this please The third and fourth lines of this solution are optional. It could have lookedSolving Linear Equations with Algebralike this:x+2 = 5-2 = -2x= 3If the constant is negative, you eliminate it with the addition property ofequality.x-2= 5+2 = +2x = 7Some equations like 3x= 12 have a number being multiplied by the variable.This number, which is 3 in this example, is called the coefficient. Coefficientscan be eliminated with the division property of equality.3x 123x 12%3D3 3Ir =4x=4The third line of this solution is optional.When the coefficient is a fraction, the multiplicative property of equalitycan be used. Multiply both sides of the equals sign by the reciprocal (alsoknown as the multiplicative inverse) to eliminate the coefficient.3.2 3 182 3 2 1Lr= 54x= 27The third line of this solution is optional.MATH FACTSWhen a fraction is multiplied by its reciprocal, the product is thenumber 1. So if the coefficient of a variable is a fraction, as in

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The third and fourth lines of this solution are optional. It could have looked Solving Linear Equations with Algebra like this: x+ 2 = 5 -2 = -2 x 3 If the constant is negative, you eliminate it with the addition property of equality. x-2= 5 +2 = +2 x = 7 Some equations like 3x= 12 have a number being multiplied by the variable. This number, which is 3 in this example, is called the coefficient. Coefficients can be eliminated with the division property of equality. 3x 12 3x 12 3 3 %3D Lr =4 x=4 The third line of this solution is optional. When the coefficient is a fraction, the multiplicative property of equality can be used. Multiply both sides of the equals sign by the reciprocal (also known as the multiplicative inverse) to eliminate the coefficient. 3 2 3 18 2 3 2 1 lx = 54 x= 27 The third line of this solution is optional. MATH FACTS When a fraction is multiplied by its reciprocal, the product is the number 1. So if the coefficient of a variable is a fraction, as in

The third and fourth lines of this solution are optional. It could have looked Solving Linear Equations with Algebra like this: x+ 2 = 5 -2 = -2 x 3 If the constant is negative, you eliminate it with the addition property of equality. x-2= 5 +2 = +2 x = 7 Some equations like 3x= 12 have a number being multiplied by the variable. This number, which is 3 in this example, is called the coefficient. Coefficients can be eliminated with the division property of equality. 3x 12 3x 12 3 3 %3D Lr =4 x=4 The third line of this solution is optional. When the coefficient is a fraction, the multiplicative property of equality can be used. Multiply both sides of the equals sign by the reciprocal (also known as the multiplicative inverse) to eliminate the coefficient. 3 2 3 18 2 3 2 1 lx = 54 x= 27 The third line of this solution is optional. MATH FACTS When a fraction is multiplied by its reciprocal, the product is the number 1. So if the coefficient of a variable is a fraction, as in

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.4: Solve Applications With Systems Of Equations

Problem 5.81TI: Translate to a system of equations and then solve: Mario wants to put a rectangular fence around the...

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Using your own words, list the steps in the general strategy for solving linear equations.
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Translate to a system of equations and then solve: Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only need to fence three sides. There are two long sides and the one shorter side is parallel to the house. He needs 155 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.