Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set: 82

Answer

$y=-\dfrac{1}{2}$

Work Step by Step

Using properties of equality, the solution to the given equation, $ \dfrac{1}{5}+y=-\dfrac{3}{10} $, is \begin{array}{l}\require{cancel} \dfrac{1}{5}+y-\dfrac{1}{5}=-\dfrac{3}{10}-\dfrac{1}{5} \\\\ y=-\dfrac{3}{10}-\dfrac{2}{10} \\\\ y=-\dfrac{5}{10} \\\\ y=-\dfrac{\cancel{5}}{\cancel{5}\cdot2} \\\\ y=-\dfrac{1}{2} .\end{array}
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