Intermediate Algebra (12th Edition)

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

Chapter 1 - Section 1.1 - Linear Equations in One Variable - 1.1 Exercises - Page 52: 52

Answer

x = -2/5

Work Step by Step

1. Given: 2[-(x - 1) + 4] = 5 + [-(6x - 7) + 9x] 2. Apply Distributive Property: 2[-x + 1 + 4] = 5 + [-6x + 7 + 9x] -2x + 2 + 8 = 5 - 6x + 7 + 9x 3. Add and subtract: -5x = 2 4. Divide: x = -2/5 5. Check: 2[-(-2/5 - 1) + 4] = 5 + [-(6(-2/5) - 7) + 9(-2/5)] 54/5 = 54/5, so -2/5 is a solution of the equation.
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