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: 68

Answer

$m=0$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 3(5+3m)-8=7 $, is \begin{array}{l} 15+9m-8=7 \\\\ 9m=7-15+8 \\\\ 9m=0 \\\\ m=0 .\end{array} CHECKING: \begin{array}{l} 3(5+3\cdot0)-8=7 \\\\ 3(5)-8=7 \\\\ 15-8=7 \\\\ 7=7 \text{ (TRUE)} .\end{array} Hence, the solution is $ m=0 $.
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