Answer
$q=\frac{5}{7}$ or $q=\frac{5}{11}$
Work Step by Step
$|9q-5|=2q$ implies $9q-5=2q\\-5=-7q\\q=\frac{5}{7}$ or $9q-5=-2q\\-5=-11q\\q=\frac{5}{11}$.
Here we have no extraneous solutions. Thus $q=\frac{5}{7}$ or $q=\frac{5}{11}$.
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 - Chapter Review - Page 64: 42
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