## College Algebra (6th Edition)

Published by Pearson

# Chapter 1 - Equations and Inequalities - Exercise Set 1.2: 51

#### Answer

$x=6$

#### Work Step by Step

Because we are told that $y_{1}=y_{2}$, we may set the two equations equal to one another and solve: $5(2x-8)-2=5(x-3)+3$ $10x-40-2=5x-15+3$ $10x-42=5x-12$ $5x=30$ $x=6$ The two equations describe a pair of intersecting lines. Therefore, there is only a single solution.

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