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 1 - Introduction to Algebraic Expressions - Mid-Chapter Review - Mixed Review - Page 37: 8


not a solution

Work Step by Step

$\bf{\text{Solution Outline:}}$ Substitute $t=8$ in the given equation, $ 13t=94.$ If the left side of the equal sign is equal to the right side of the equal sign, then $t=8$ is a solution. $\bf{\text{Solution Details:}}$ Substituting $t=8,$ the given equation is equivalent to \begin{array}{l}\require{cancel} 13t=94 \\\\ 13(8)=94 \\\\ 104=94 \text{ (FALSE)} .\end{array} Since the substitution above ended with a FALSE statement, then $t=8$ is $\text{ not a solution .}$
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