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: 51

Answer

$n=-\dfrac{9}{10}$

Work Step by Step

Multiplying both sides of the equation by $ \dfrac{6}{5} $ (which is the reciprocal of 5/6) and using the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{5}{6}n=-\dfrac{3}{4} ,$ is \begin{array}{l}\require{cancel} n=-\dfrac{3}{4}\cdot\dfrac{6}{5} \\\\ n=-\dfrac{3}{\cancel{2}\cdot2}\cdot\dfrac{\cancel{2}\cdot3}{5} \\\\ n=-\dfrac{9}{10} .\end{array}
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