Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 8 - Section 8.1 - Linear Equations with Two Variables - Exercises - Page 297: 33

Answer

$y= \frac{2x}{3}+2$

Work Step by Step

By adding $2x$ from each side and then dividing each side by 3, we get: $$-2x+3y=6\Longrightarrow 3y=6+2x \\ \Longrightarrow y=\frac{6+2x}{3}=\frac{2x}{3}+2 .$$
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