Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.6 Solve Rational Equations - Guided Practice for Examples 3, 4, and 5 - Page 591: 5



Work Step by Step

We solve the equation by creating common denominators, combining the fractions, and then simplifying. Doing this, we find: $$\frac{7x}{2x}+\frac{6}{2x}=3 \\ \frac{7x+6}{2x}=3 \\ \frac{7x+6}{2x}=3 \\ x=-6$$ Checking, we see that the solution is not extraneous.
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