Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set: 23

Answer

$t=-4$

Work Step by Step

Using the properties of equality, the solution to the given equation, $12-t=16$, is \begin{array}{l} -t=16-12 \\\\ -t=4 \\\\ t=\dfrac{4}{-1} \\\\ t=-4 .\end{array} Checking: \begin{array}{l} 12-(-4)=16 \\\\ 12+4=16 \\\\ 16=16 \text{ (TRUE)} .\end{array} Hence, the solution is $t=-4 .$

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