Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - Quiz: 3

Answer

$y=\dfrac{3x}{a-1}$

Work Step by Step

Put all the terms with $y$ on the left side of the equation: $ay+2x=y+5x \\ay+2x-2x-y=y+5x-2x-y \\ay-y=3x$ Factor out $y$ on the left side of the equation: $y(a-1)=3x$ Divide $a-1$ to both sides of the equation: $\dfrac{y(a-1)}{a-1}=\dfrac{3x}{a-1} \\y=\dfrac{3x}{a-1}$
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