## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 3 - Mid-Chapter Check Point - Page 220: 2

#### Answer

The solution is $x=1$ and $y=-2$

#### Work Step by Step

The equations are $3x+4y=-5$ ... (1) $2x-3y=8$ ... (2) Multiply equation (1)by $-2$ and equation (2) by $3$. $-6x-8y=10$ $6x-9y=24$ Add both equations. $-17y=34$ $y=\frac{34}{-17}$ $y=-2$ Substitute into equation (1). $3x+4(-2)=-5$ $3x-8=-5$ $3x=-5+8$ $3x=3$ $x=1$.

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