Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.6 - Absolute Value Equations - Exercise Set: 63

Answer

$2,\frac{-10}{3}$

Work Step by Step

$|\frac{3n+2}{8}| = |-1|$ Absolute value of a negative number is positive number. So, $|\frac{3n+2}{8}| = 1$ This is equivalent to $\frac{3n+2}{8} = 1$ or $\frac{3n+2}{8} = -1$ $3n+2 = 8 $ or $3n+2 = -8$ $3n = 8-2 $ or $3n = -8-2$ $3n = 6 $ or $3n = -10$ $n =2 $ or $n = \frac{-10}{3}$ Solutions are $2,\frac{-10}{3}$
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