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: 19

Answer

$x = 9$ OR $x = -1/2$

Work Step by Step

$|X| = |Y|$ is true only if $X = Y$ OR $X = -Y$ Given $|5x - 7| = |3x + 11|$ either $5x - 7 = 3x + 11$ OR $5x - 7 = -(3x + 11)$ IF $5x - 7 = 3x + 11$ subtract 3x from each side of the equation $2x - 7 = 11$ add $7$ to each side of the equation $2x = 18$ divide each side of the equation by $2$ $x = 9$ IF $5x - 7 = -(3x + 11)$ distribute the negative on the right side $5x - 7 = -3x - 11$ add $3x$ to each side of the equation $8x - 7 = -11$ add $7$ to each side of the equation $8x = -4$ divide each side of the equation by $8$ $x = -1/2$
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.