Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set: 14

Answer

$x=10$

Work Step by Step

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{4x+5}{5}=\dfrac{3(x-4)}{2} ,$ is \begin{array}{l}\require{cancel} 2(4x+5)=5(3)(x-4) \\\\ 8x+10=15x-60 \\\\ 8x-15x=-60-10 \\\\ -7x=-70 \\\\ x=\dfrac{-70}{-7} \\\\ x=10 .\end{array}
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