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: 64


x = $-\frac{7}{45}$

Work Step by Step

$2x - \frac{1}{10} = \frac{2}{5} - \frac{1}{4}x - \frac{17}{20}$ Combine like terms: $2x - \frac{1}{10} = -\frac{1}{4}x - \frac{9}{20}$ Add $\frac{1}{4}x$ to both sides: $\frac{9}{4}x - \frac{1}{10} = -\frac{9}{20}$ Add $\frac{1}{10}$ to both sides: $\frac{9}{4}x = -\frac{7}{20}$ Multiply both sides by $\frac{4}{9}$ $\frac{4}{9}(\frac{9}{4}x) = -\frac{7}{20}(\frac{4}{9})$ x = $-\frac{7}{45}$
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