## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 9 - Section 9.3 - Solving Pairs of Linear Equations by Substitution - Exercises: 1

#### Answer

$(2\frac{2}{5},7\frac{1}{5})$

#### Work Step by Step

$2x+y=12$ $y=3x$ Substitute 3x for y in the first equation. $2x+3x=12$ $\longrightarrow$ simplify $5x=12$ $\longrightarrow$ divide both sides by 5 $5x\div5=12\div5$ $\longrightarrow$ simplify $x=2\frac{2}{5}$ Substitute $2\frac{2}{5}$ for x in the second equation. $y=3(2\frac{2}{5})$ $y=7\frac{1}{5}$

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