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 - 2.2 Using the Principles Together - 2.2 Exercise Set: 74

Answer

$y=7$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 5y-10+y=7y+18-5y $, is \begin{array}{l} 5y+y-7y+5y=18+10 \\\\ 4y=28 \\\\ y=7 .\end{array} CHECKING: \begin{array}{l} 5(7)-10+7=7(7)+18-5(7) \\\\ 35-10+7=49+18-35 \\\\ 32=32 \text{ (TRUE)} .\end{array} Hence, the solution is $ y=7 $.
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