Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.4 - Solving Linear Equations - Exercise Set - Page 51: 47


inconsistent equation

Work Step by Step

Distribute $3$ then combine like terms to obtain: $-4x-3(2) -3(-2x)=7+2x \\-4x-6-(-6x)=7+2x \\-4x-6+6x=7+2x \\2x-6=7+2x$ Subtract $2x$ and add $6$ on both sides of the equation to obtain: $2x-2x=7+6 \\0=13$ The statement above is false therefore the given equation is inconsistent.
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