Answer
$z=-\frac{5}{11}$
Work Step by Step
$|2z+5|=-9z$ implies $2z+5=-9z\\5=-11z\\z=-\frac{5}{11}$ or $2z+5=9z\\5=7z\\z=\frac{5}{7}$.
Here $z=\frac{5}{7}$ is an extraneous solution. Thus $z=-\frac{5}{11}$.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
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 - Quiz for Lessons 1.6-1.7 - Page 58: 9
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
