Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-9 - Cumulative Review: 4

Answer

$m = \frac{31}{3}$

Work Step by Step

$\frac{2}{m-3} = \frac{5}{m+8}$ $2(m+8) = 5(m-3)$ $2m+16 = 5m - 15$ $2m - 5m = -15 - 16$ $-3m = -31$ $m = \frac{31}{3}$ Check: $\frac{2}{(\frac{31}{3})-3} \overset{?}{=}\frac{5}{(\frac{31}{3})+8}$ $\frac{2}{7.3333...} \overset{?}{=}\frac{5}{18.3333...}$ $\frac{2}{7.3333...} \overset{?}{=}\frac{5}{18.3333...}$ $0.2727... = 0.2727...$
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