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: 74



Work Step by Step

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