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 - Page 95: 107

Answer

an identity

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 3(x+5)=3(5+x) $, is \begin{array}{l} 3x+15=15+3x \\\\ 3x-3x=15-15 \\\\ 0=0 \text{ (TRUE)} .\end{array} Since the solution above ended with a TRUE statement, then the given equation is $\text{ an identity .}$
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