Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.6 - Rational Equations - Exercise Set - Page 462: 11

Answer

Solution set = $\emptyset$. (no solution)

Work Step by Step

First, we exclude those values of x that yield a zero in any of the denominators. $x\not\in\{-3\}\qquad (*)$ Multiply the equation with the LCD=$(x+3)$ $ x+6=3+2(x+3)\qquad$ ... simplify (distribute) $x+6=3+2x+6$ $ x+6=2x+9\qquad$ ... add $-6-2x$ $x-2x=9-6$ $-x=3$ $ x=3\qquad$ ...Checking (*), this is not a valid solution Solution set = $\emptyset$. (no solution)
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