Answer
$x=4$
Work Step by Step
By cross-multiplication, the solution to the given equation, $
\dfrac{4}{x+2}=\dfrac{2}{x-1}
,$ is
\begin{array}{l}
4(x-1)=2(x+2)
\\\\
4x-4=2x+4
\\\\
4x-2x=4+4
\\\\
2x=8
\\\\
x=\dfrac{8}{2}
\\\\
x=4
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 6 - Sections 6.1-6.5 - Integrated Review - Expressions and Equations Containing Rational Expressions - Page 380: 7
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