Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set: 19



Work Step by Step

Using the properties of equality, the solution to the given equation, $ 8z+2=-54 $, is \begin{array}{l} 8z+2-2=-54-2 \\\\ 8z=-56 \\\\ \dfrac{8z}{8}=\dfrac{-56}{8} \\\\ z=-7 .\end{array} Checking: \begin{array}{l} 8(-7)+2=-54 \\\\ -56+2=-54 \\\\ -54=-54 \text{ (TRUE)} .\end{array} Hence, the solution is $ z=-7 .$
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