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 - 2.1 Solving Equations - 2.1 Exercise Set: 56

Answer

$a=52$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $ \dfrac{a}{4}=13 ,$ use the multiplication principle by multiplying both sides by $4.$ Then do checking of the solution. $\bf{\text{Solution Details:}}$ Multiplying both sides by $4,$ the given equation is equivalent to \begin{array}{l}\require{cancel} \dfrac{a}{4}=13 \\\\ 4\left( \dfrac{a}{4} \right)=4(13) \\\\ a=52 .\end{array} Substituting the solved value of the variable in the given equation results to \begin{array}{l}\require{cancel} \dfrac{a}{4}=13 \\\\ \dfrac{52}{4}=13 \\\\ 13=13 \text{ (TRUE)} .\end{array} Hence, the solution is $ a=52 .$
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