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: 28

Answer

The equation has one solution, 4.

Work Step by Step

$\frac{2x+4}{x-3}=\frac{3x}{x-3}$ $(2x+4)(x-3)=3x(x-3)$ (Cross Products Property) $2x+4=3x$ (Simplify the $x-3$ factor on both sides) $x=4$ Check: $(2\times4+4)/(4-3)=12; (3\times4)/(4-3)=12$ The equation has one solution, 4.
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