## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 9 - Section 9.3 - Solving Pairs of Linear Equations by Substitution - Exercises - Page 334: 3

(10,2)

#### Work Step by Step

$5x-2y=46$ $x=5y$ Substitute 5y for x in the first equation. $5(5y)-2y=46$ $\longrightarrow$ simplify $25y-2y=46$ $\longrightarrow$ simplify $23y=46$ $\longrightarrow$ divide both sides by 23 $23y\div23=46\div23$ $\longrightarrow$ simplify $y=2$ Substitute 2 for y in the second equation. $x=5(2)$ $\longrightarrow$ simplify $x=10$

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