Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Review Exercises - Page 129: 5


identity; the set of all real numbers

Work Step by Step

Using the properties of equality, the given equation, $ 10x-3(2x-4)=4(x+3) ,$ is equivalent to \begin{array}{l}\require{cancel} 10x-6x+12=4x+12 \\\\ 10x-6x-4x=12-12 \\\\ 0=0 .\end{array} Since the solution above ended with a TRUE statement, then the given equation is an identity. The solution is $\text{ the set of all real numbers }.$
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