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: 22


$t=-8 $

Work Step by Step

Using the properties of equality, the solution to the given equation, $ -39=1+5t $, is \begin{array}{l} -39-1=5t \\\\ -40=5t \\\\ \dfrac{-40}{5}=t \\\\ t=-8 .\end{array} Checking: \begin{array}{l} -39=1+5(-8) \\\\ -39=1-40 \\\\ -39=-39 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=-8 .$
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