Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 55: 36


$x=0.5$ or $x=\frac{1}{14}$

Work Step by Step

$|8x-1|=6x$ implies $8x-1=6x\\-1=-2x\\x=0.5$ or $8x-1=-6x\\-1=-14x\\x=\frac{1}{14}$. Here we have no extraneous solutions. Thus $x=0.5$ or $x=\frac{1}{14}$.
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