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: 24

Answer

$t=-12 $

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 9-t=21 $, is \begin{array}{l} -t=21-9 \\\\ -t=12 \\\\ t=\dfrac{12}{-1} \\\\ t=-12 .\end{array} Checking: \begin{array}{l} 9-(-12)=21 \\\\ 9+12=21 \\\\ 21=21 \text{ (TRUE)} .\end{array} Hence, the solution is $ t=-12 .$
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