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: 60

Answer

Solutions are $2, \frac{-14}{5}$

Work Step by Step

$|\frac{5x+2}{2}| = |-6|$ Absolute value of a negative number is positive number. So, $|\frac{5x+2}{2}| = 6$ This is equivalent to $\frac{5x+2}{2} = 6$ or $\frac{5x+2}{2} = -6$ $5x+2 = 12$ or $5x+2 = -12$ $5x= 12-2$ or $5x = -12-2$ $5x= 10$ or $5x = -14$ $x = 2 $ or $x = \frac{-14}{5}$ Solutions are $2, \frac{-14}{5}$
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