Question

Make r the subject of the formula

Answer 1

Answer:

$r = \frac{p - a}{(p + a)}$

Step-by-step explanation:

$p = \frac{a(1 + r)}{(1 - r)} \\ p(1 - r) = a(1 + r) \\ p - pr = a + ar \\ p - a = pr + ar \\ p - a = r(p + a) \\ \frac{p - a}{(p + a)} = \frac{r(p + a)}{(p + a)} \\ \frac{p - a}{(p + a)} = r$

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Answer 2

Answer:

$r=\frac{-a+p}{a+p}$

Step-by-step explanation:

$-pr+p=ar+a$

$-ar-pr+p=a$

$-ar-pr=a-p$

$r(-a-p)=a-p$

$r=\frac{-a+p}{a+p}$