Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 376: 75

Answer

\[x=\frac{bc}{ad}\].

Work Step by Step

Simplify the provided expression as follows: \[\begin{align} & \frac{ax-b}{b}=\frac{c-d}{d} \\ & \frac{ax}{b}-\frac{b}{b}=\frac{c}{d}-\frac{d}{d} \\ & \frac{ax}{b}-1=\frac{c}{d}-1 \\ \end{align}\] This can be further simplified as: \[\begin{align} & \frac{ax}{b}=\frac{c}{d}+1-1 \\ & \frac{ax}{b}=\frac{c}{d} \\ & x=\frac{bc}{ad} \\ \end{align}\] The solution for the provide proportion is\[x=\frac{bc}{ad}\].
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