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: 13

Answer

$x=8$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 2x+9=25 $, is \begin{array}{l} 2x+9-9=25-9 \\\\ 2x=16 \\\\ \dfrac{2x}{2}=\dfrac{16}{2} \\\\ x=8 .\end{array} Checking: \begin{array}{l} 2(8)+9=25 \\\\ 16+9=25 \\\\ 25=25 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=8 $.
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