How do you solve 8/n=3/(n-5)?

Jan 18, 2017

$n = 8$

Explanation:

Given:

$\frac{8}{n} = \frac{3}{n - 5}$

Multiply both sides by $n \left(n - 5\right)$ to get:

$8 \left(n - 5\right) = 3 n$

That is:

$8 n - 40 = 3 n$

Add $40 - 3 n$ to both sides to get:

$5 n = 40$

Divide both sides by $5$ to find:

$n = 8$