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: 67

Answer

$m=6$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 2(3+4m)-6=48 $, is \begin{array}{l} 6+8m-6=48 \\\\ 8m=48 \\\\ m=\dfrac{48}{8} \\\\ m=6 .\end{array} CHECKING: \begin{array}{l} 2(3+4\cdot6)-6=48 \\\\ 2(3+24)-6=48 \\\\ 2(27)-6=48 \\\\ 54-6=48 \\\\ 48=48 \text{ (TRUE)} .\end{array} Hence, the solution is $ m=6 $.
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