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: 30

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-2}{6}=\dfrac{x-6}{8} ,$ is \begin{array}{l}\require{cancel} 8(x-2)=6(x-6) \\\\ 8x-16=6x-36 \\\\ 8x-6x=-36+16 \\\\ 2x=-20 \\\\ x=-\dfrac{20}{2} \\\\ x=-10 .\end{array}
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