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: 64

Answer

$t=-1$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 5(3-3t)=30 $, is \begin{array}{l} 15-15t=30 \\\\ -15t=30-15 \\\\ -15t=15 \\\\ t=\dfrac{15}{-15} \\\\ t=-1 .\end{array} CHECKING: \begin{array}{l} 5(3-3(-1))=30 \\\\ 5(3+3)=30 \\\\ 5(6)=30 \\\\ 30=30 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=-1 $.
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