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 - Page 94: 66

Answer

$x=1$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 9=3(5x-2) $, is \begin{array}{l} 9=15x-6 \\\\ 9+6=15x \\\\ 15=15x \\\\ x=\dfrac{15}{15} \\\\ x=1 .\end{array} CHECKING: \begin{array}{l} 9=3(5\cdot1-2) \\\\ 9=3(5-2) \\\\ 9=3(3) \\\\ 9=9 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=1 $.
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