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: 37

Answer

$x=-0.5$ or $x=-1.5$

Work Step by Step

$|4x+5|=2x+4$ implies $4x+5=2x+4\\2x=-1\\x=-0.5$ or $4x+5=-2x-4\\6x=-9\\x=-1.5$. Here we have no extraneous solutions. Thus $x=-0.5$ or $x=-1.5$ Check: $|4\cdot(-0.5)+5|=|-2+5|=3=-1+4=2\cdot-0.5+4$ and $|4\cdot(-1.5)+5|=|-6+5|=|-1|=1=-3+4=2\cdot-1.5+4$. Thus both are good solutions.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.