Question

Given that m=8-5/r

Answer 1

Explanation:

Given that,

$m=8-\dfrac{5}{r}$

(1) We need to find the value of r.

Subtract 8 from both sides,

$m-8=8-8-\dfrac{5}{r}\\\\m-8=-\dfrac{5}{r}\\\\r(m-8)=-5\\\\r=\dfrac{-5}{(m-8)}$

So, the value of r is equal to $\dfrac{-5}{(m-8)}$.

(2) Put m=2 in the value of r. So,

$r=\dfrac{-5}{(2-8)}\\\\r=\dfrac{5}{6}$

Hence, this is the required solution.