Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises: 27

Answer

y=0 or y=3

Work Step by Step

4|2y−3|−1=11⟶ add 1 to each side 4|2y−3|−1+1=11+1⟶ add 4|2y−3|=12⟶ divide each side by 4 4|2y−3|÷4=12÷4⟶ divide |2y−3|=3⟶ definition of absolute value 2y−3=−3 or 2y−3=3 solve each equation 2y−3=−3⟶ add 3 to each side 2y−3+3=−3+3⟶ add 2y=0⟶ divide each side by 2 2y÷2=0÷2⟶ divide y=0 OR 2y−3=3⟶ add 3 to each side 2y−3+3=3+3⟶ add 2y=6⟶ divide each side by 2 2y÷2=6÷2⟶ divide y=3
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