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: 61

Answer

$x=-\dfrac{7}{5}$

Work Step by Step

Multiplying both sides by the $LCD= 7 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ -\dfrac{5}{7}x=1 ,$ is \begin{array}{l}\require{cancel} 1(-5x)=7(1) \\\\ -5x=7 \\\\ x=\dfrac{7}{-5} \\\\ x=-\dfrac{7}{5} .\end{array}
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