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: 19

Answer

x=6

Work Step by Step

16 = 3(x - 1) - (x - 7) Expand 3(x - 1) = 3x - 3 Expand - (x - 7) = -x + 7 Rewrite the equation: 16 = 3x - 3 - x + 7 Combine like terms: 16 + 3 - 7 = 3x - x 12 = 2x Divide both sides by 2: x = 6 Check: 16 = 3(x - 1) - (x - 7) 16 = 3 (6-1) - (6-7) 16 = 3(5) - (-1) 16 = 15 + 1 16 = 16 -->TRUE
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