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: 52

Answer

$x=\dfrac{11}{5}$

Work Step by Step

By cross-multiplication, the value of the variable that satisfies the given equation, $ \dfrac{-3}{2x-5}=\dfrac{-4}{x-3} ,$ is \begin{array}{l}\require{cancel} -3(x-3)=-4(2x-5) \\\\ -3x+9=-8x+20 \\\\ -3x+8x=20-9 \\\\ 5x=11 \\\\ x=\dfrac{11}{5} .\end{array}
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