Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.2 - Linear Equations in One Variable - 1.2 Exercises - Page 87: 42

Answer

x =$\frac{7}{4}$

Work Step by Step

Solve : $\frac{1}{x-2} + \frac{3}{x+3} = \frac{4}{x^{2} + x -6}$ $\frac{1}{x-2} + \frac{3}{x+3} = \frac{4}{(x-2)(x+3)}$ Multiplying both sides with (x-2)(x+3) x+3 + 3(x-2) = 4 x+3+3x-6 = 4 4x = 7 x =$\frac{7}{4}$
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