How do you solve a literal equation like this: [tex]s = \frac{r}{1 - r}[/tex] solving for [tex]r[/tex]?

s=\frac{r}{1-r}} \\\\ r=s(1-r) \\\\r=s-sr\\\\r+sr=s\\\\r(s+1)=s\\\\\boxed{r=\frac{s}{s+1}}

Answered by mariamikayla | 2024-06-10

To solve the equation s = 1 − r r ​ for r , multiply both sides by 1 − r , rearrange to isolate r , and factor. The solution is r = s + 1 s ​ . This process can be applied to similar equations.
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Answered by mariamikayla | 2025-05-16