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: 32

Answer

$t=9$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ \dfrac{2}{3}t-1=5 $, is \begin{array}{l} \dfrac{2}{3}t=5+1 \\\\ \dfrac{2}{3}t=6 \\\\ t=6\left( \dfrac{3}{2} \right) \\\\ t=9 .\end{array} Checking: \begin{array}{l} \dfrac{2}{3}(9)-1=5 \\\\ 6-1=5 \\\\ 5=5 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=9 .$
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