## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 8 Rational Functions - 8.6 Solve Rational Equations - Guided Practice for Examples 3, 4, and 5 - Page 591: 6

x=3

#### Work Step by Step

We solve the equation by creating common denominators, combining the fractions, and then simplifying. Doing this, we find: $$\frac{6}{3x}+\frac{4x}{3x}=2 \\ \frac{6+4x}{3x} =2 \\ 6+4x=6x \\ x=3$$ Checking, we see that the solution is not extraneous.

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