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: 39


$x=-\frac{1}{6}$ or $x=-3.75$

Work Step by Step

$|8+5x|=7-x$ implies $8+5x=7-x\\1=-6x\\x=-\frac{1}{6}$ or $8+5x=-7+x\\15=-4x\\x=-3.75$. Here we don't have extraneous solutions.Thus $x=-\frac{1}{6}$ or $x=-3.75$
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