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 50: 17

Answer

x = -5

Work Step by Step

3(x - 4) - 4(x - 3) = x + 3 - (x - 2) Expand the equation: 3x - 12 - 4x + 12 = x + 3 - x + 2 Combine like terms: 3x - 4x - x + x = 3 + 2 + 12 - 12 Simplify: -x = 5 x = -5 Check your answer by substituting the value of x=-5 to the original equation: 3(x - 4) - 4(x - 3) = x + 3 - (x - 2) 3(-5-4) - 4(-5-3) = -5+3 - (-5-2) 3(-9) - 4(-8) = -2 -(-7) -27+32 = 5 5 = 5 --> TRUE
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