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: 29

Answer

$x=3$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 32-7x=11 $, is \begin{array}{l} -7x=11-32 \\\\ -7x=-21 \\\\ x=\dfrac{-21}{-7} \\\\ x=3 .\end{array} Checking: \begin{array}{l} 32-7(3)=11 \\\\ 32-21=11 \\\\ 11=11 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=3 .$
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