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: 9

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{x-1}{-3}=\dfrac{x+2}{-4} ,$ is \begin{array}{l}\require{cancel} -4(x-1)=-3(x+2) \\\\ -4x+4=-3x-6 \\\\ -4x+3x=-6-4 \\\\ -x=-10 \\\\ x=10 .\end{array}
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