Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 695: 8



Work Step by Step

Given : $\frac{x+4}{2x} = \frac{2}{2x}$ This becomes : $x+4=2$ (After multiplying both the sides by $2x$) Thus, $x=2-4=-2$ Checking by putting the value $x=-2$ in the original equation : Left Hand Side, $LHS = \frac{-2+4}{2\times-2}=\frac{-2}{4}=\frac{-1}{2}$ Right Hand Side, $RHS=\frac{2}{2\times-2}=\frac{-1}{2}$ Thus, $LHS=RHS$
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