Intermediate Algebra (12th Edition)

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

Chapter 1 - Review Exercises: 6


a contradiction; no solution

Work Step by Step

Using the properties of equality, the given equation, $ 13x-(x+7)=12x-13 ,$ is equivalent to \begin{array}{l}\require{cancel} 13x-x-7=12x-13 \\\\ 13x-x-12x=-13+7 \\\\ 0=-6 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then the given equation is $\text{ a contradiction .}$ Hence, there is $\text{ no solution }.$
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