Intermediate Algebra: Connecting Concepts through Application

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

Chapter 1-6 - Cumulative Review: 5

Answer

$b = -1$

Work Step by Step

$\frac{2}{5}b + \frac{4}{5} = \frac{1}{5}(b+3)$ $\frac{2b}{5} + \frac{4}{5} = \frac{1}{5}(b+3)$ $\frac{2b}{5} + \frac{4}{5} = \frac{b+3}{5}$ $2b + 4 = b+3$ $2b - b = 3 - 4$ $b = 3-4$ $b = -1$ Check: $\frac{2(-1)}{5} + \frac{4}{5} \overset{?}{=} \frac{1}{5}(-1+3)$ $\frac{-2}{5} + \frac{4}{5} \overset{?}{=} \frac{1}{5}(2)$ $\frac{-2}{5} + \frac{4}{5} \overset{?}{=} \frac{2}{5}$ $\frac{2}{5} = \frac{2}{5}$
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