## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 7 - Functions and Graphs - 7.5 Formulas, Applications, and Variation - 7.5 Exercise Set - Page 485: 19

#### Answer

$\frac{Rs}{s-R}=g$

#### Work Step by Step

$R=\frac{gs}{g+s}$ Our problem is asking us to find out what does g equal. Our first step is to multiply both sides by (g+s). This has to be done in order to get rid of the fraction. $R\times(g+s)=\frac{gs}{g+s}\times(g+s)$ The fraction is now canceled out because it is being multiplied by its denominator. We will now distribute the variable $R$. $Rg+Rs=gs$ Now we subtract Rg from both sides. $Rg-(Rg)+Rs=gs-(Rg)$ $Rs=gs-Rg$ We now factor out g. $Rs=g(s-R)$ Here we divide both sides by (s-R). $\frac{Rs}{s-R}=g\frac{s-R}{s-R}$ The fraction will cancel itself out. Our answer should now be $\frac{Rs}{s-R}=g$

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