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: 92

Answer

a contradiction

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 5(x-7)=3(x-2)+2x $, is \begin{array}{l} 5x-35=3x-6+2x \\\\ 5x-3x-2x=-6+35 \\\\ 0=29 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then the given equation is $\text{ a contradiction }$.
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