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: 18


$x=10 $

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 5x-9=41 $, is \begin{array}{l} 5x-9+9=41+9 \\\\ 5x=50 \\\\ \dfrac{5x}{5}=\dfrac{50}{5} \\\\ x=10 .\end{array} Checking: \begin{array}{l} 5(10)-9=41 \\\\ 50-9=41 \\\\ 41=41 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=10 $.
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