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 - 2.1 Solving Equations - 2.1 Exercise Set: 81

Answer

$x=-15$

Work Step by Step

Using properties of equality, the solution to the given equation, $ -24=\dfrac{8x}{5} $, is \begin{array}{l}\require{cancel} \dfrac{5}{8}\cdot(-24)=\dfrac{8x}{5}\cdot\dfrac{5}{8} \\\\ \dfrac{5}{\cancel{8}}\cdot(\cancel{8}\cdot(-3))=\dfrac{40x}{40} \\\\ -15=x \\\\ x=-15 .\end{array}
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