Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.3 - Further Solving Linear Equations - Exercise Set - Page 120: 63

Answer

x = $-\frac{1}{50}$

Work Step by Step

3x + $\frac{5}{16} = \frac{3}{4} - \frac{1}{8}x - \frac{1}{2}$ Combine like terms: 3x + $\frac{5}{16} = \frac{1}{4} - \frac{1}{8}x$ Add $\frac{1}{8}x$ to both sides: $\frac{25}{8}x + \frac{5}{16} = \frac{1}{4}$ Subtract $\frac{5}{16}$ from both sides: $\frac{25}{8}x = -\frac{1}{16}$ Multiply both sides by $\frac{8}{25}$ $\frac{8}{25}(\frac{25}{8}x) = -\frac{1}{16}(\frac{8}{25})$ x = $-\frac{1}{50}$
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