Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 3 - Section 3.3 - Solving Linear Equations in One Variable - Exercise Set - Page 189: 56


The solution is -7

Work Step by Step

2(z-2)=5z+17 Apply the distributive property 2z-4=5z+17 Add 4 to both sides 2z-4+4=5z+17+4 Simplify 2z=5z+21 Subtract 5z from both sides 2z-5z=5z+21-5z Simplify -3z=21 Divide by- 3 on both sides $\frac{-3z}{-3}$=$\frac{21}{-3}$ z= -7 The solution is -7 Check 2(z-2)=5z+17 Replace z with -7 2(-7-2)=5(-7)+17 Simplify inside parentheses 2(-9)=5(-7)+17 Multiply -18=-35+17 -18=-18
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