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: 83

Answer

$t=9$

Work Step by Step

Using properties of equality, the solution to the given equation, $ -\dfrac{4}{3}t=-12 $, is \begin{array}{l}\require{cancel} -\dfrac{3}{4}\left(-\dfrac{4}{3}t\right)=-12\left(-\dfrac{3}{4}\right) \\\\ \dfrac{12}{12}t=-3\cdot\cancel{4}\left(-\dfrac{3}{\cancel{4}}\right) \\\\ t=9 .\end{array}
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