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 - Common Core Cumulative Standards Review - Selected Response - Page 721: 8


$\boxed G$

Work Step by Step

You must use The Butterfly Method/Cross Multiplication $(5x)(4x-5)= (2x+1)(3x)$ $20x^2-25x = 6x^2 + 3x$ $14x^2-28x= 0$ Factor: $x(14x-28)=0$ $14x(x-2)=0$ $x = 0,2$ HOWEVER, $0$ won't work since substituting would result in undefined numbers. Therefore, the answer is $\boxed{x=2}$. Answer choice $\boxed G$ is correct.
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