Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 58

Answer

$x=\dfrac{25}{42}$

Work Step by Step

Multiplying both sides by the $LCD= 70 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ -\dfrac{6}{5}x=-\dfrac{10}{14} ,$ is \begin{array}{l}\require{cancel} 14(-6x)=5(-10) \\\\ -84x=-50 \\\\ x=\dfrac{-50}{-84} \\\\ x=\dfrac{\cancel{-2}\cdot25}{\cancel{-2}\cdot42} \\\\ x=\dfrac{25}{42} .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.