Algebra 1: Common Core (15th Edition)

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

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 23

Answer

z= 15/4 (which is also 3.75).

Work Step by Step

The quantity inside of the parenthesis is being multiplied by 5. Thus, we first divide by 5 to find that 2+4z=17. We now need to get the z alone. Thus, we cancel out the addition by subtracting 2 on both sides. This leaves us with the equation 4z=15. In order to cancel out multiplication, we use division, so we divide both sides by 4 to get that z=15/4. We plug 15/4 in for z and confirm that our answer is, indeed, correct.
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