## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 149: 35

#### Answer

$x=34$

#### Work Step by Step

Using cross-multiplication, the value of the variable that satisfies the given equation, $\dfrac{-4}{x+2}=\dfrac{-3}{x-7} ,$ is \begin{array}{l}\require{cancel} -4(x-7)=-3(x+2) \\\\ -4x+28=-3x-6 \\\\ -4x+3x=-6-28 \\\\ -x=-34 \\\\ x=34 .\end{array}

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