Intermediate Algebra (12th Edition)

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

Chapter 1 - Review Exercises: 7

Answer

a conditional equation; $x=0$

Work Step by Step

Using the properties of equality, the given equation, $ x+6(x-1)-(4-x)=-10 ,$ is equivalent to \begin{array}{l}\require{cancel} x+6x-6-4+x=-10 \\\\ x+6x+x=-10+6+4 \\\\ 8x=0 \\\\ x=\dfrac{0}{8} \\\\ x=0 .\end{array} Since the solution above ended with a variable being equated to a constant, then the given equation is $\text{ a conditional equation .}$ The solution is $ x=0 .$
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