Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 45

Answer

$x=24$

Work Step by Step

Multiplying both sides of the equation by $ \dfrac{4}{3} $ (which is the reciprocal of 3/4) and using the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{3}{4}x=18 ,$ is \begin{array}{l}\require{cancel} x=18\cdot\dfrac{4}{3} \\\\ x=\cancel{3}\cdot6\cdot\dfrac{4}{\cancel{3}} \\\\ x=24 .\end{array}
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