Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises - Page 220: 52

Answer

y=1 1/3 OR y=−2 2/3

Work Step by Step

3|3y+2|=18⟶ divide each side by 3 3|3y+2|÷3=18÷3⟶ divide |3y+2|=6⟶ definition of absolute value 3y+2=6 OR 3y+2=−6⟶ subtract 2 from all parts 3y+2−2=6−2 OR 3y+2−2=−6−2⟶ subtract 3y=4 OR 3y=−8⟶ divide all parts by 3 3y÷3=4÷3 OR 3y÷3=−8÷3⟶ divide y=1 1/3 OR y=−2 2/3
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