Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Mixed Review - Page 692: 55

Answer

$m=-5/3$

Work Step by Step

$\frac{3}{m-4} +2 = \frac{5m}{m-4}$ $\frac{3}{m-4} +2*\frac{m-4}{m-4} = \frac{5m}{m-4}$ $\frac{3}{m-4} +\frac{2(m-4)}{m-4} = \frac{5m}{m-4}$ $\frac{3}{m-4} +\frac{2m-8}{m-4} = \frac{5m}{m-4}$ $3 +2m-8 = 5m$ $-5+2m=5m$ $-5+2m-2m = 5m-2m$ $-5 = 3m$ $m=-5/3$
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