## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-4 Application of Linear Systems - Practice and Problem-Solving Exercises - Page 387: 16

#### Answer

For this problem, we will chose elimination as our method to solve the problem because we can easily eliminate the y terms in both the equations. Solution: ($\frac{25}{6}$, $-\frac{23}{12}$)

#### Work Step by Step

Our two systems are: 1. 5x+2y=17 2. x-2y=8 First lets add both equation together in order to cancel the y terms. The reason why the y-terms cancel out when you add the equations is because -2 is the additive inverse of 2. We get the equation: 6x=25 (Divide by 6) x=(25/6) Now lets use that in our second equation to find the value of y: (25/6)-2y=8 (subtract 25/6 on both sides) -2y=23/6 (divide by -2 on both sides) y=-23/12 So our ordered pairs are: ($\frac{25}{6}$, $-\frac{23}{12}$)

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