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 Test - Page 185: 4


$x=-\dfrac{17}{18} $

Work Step by Step

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{-4}{2x-1}=\dfrac{3}{3x+5} ,$ is \begin{array}{l}\require{cancel} -4(3x+5)=3(2x-1) \\\\ -12x-20=6x-3 \\\\ -12x-6x=-3+20 \\\\ -18x=17 \\\\ x=\dfrac{17}{-18} \\\\ x=-\dfrac{17}{18} \end{array}
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