Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 53

Answer

$x=28$

Work Step by Step

Using cross-multiplication, the value of the variable that satisfies the given equation, $ \dfrac{2(x-1)}{3}=\dfrac{3(x+2)}{5} ,$ is \begin{array}{l}\require{cancel} 2(5)(x-1)=3(3)(x+2) \\\\ 10x-10=9x+18 \\\\ 10x-9x=18+10 \\\\ x=28 .\end{array}
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