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: 31



Work Step by Step

Using the properties of equality, the solution to the given equation, $ \dfrac{3}{5}t-1=8 $, is \begin{array}{l} \dfrac{3}{5}t=8+1 \\\\ \dfrac{3}{5}t=9 \\\\ t=9\left( \dfrac{5}{3} \right) \\\\ t=15 .\end{array} Checking: \begin{array}{l} \dfrac{3}{5}(15)-1=8 \\\\ 9-1=8 \\\\ 8=8 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=15 .$
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