# How do you solve S= n/s (A+t) for A?

Sep 19, 2016

$\textcolor{g r e e n}{A = S \cdot \frac{s}{n} - t}$

#### Explanation:

If
$\textcolor{w h i t e}{\text{XXX}} S = \frac{n}{s} \left(A + t\right)$
then
$\textcolor{w h i t e}{\text{XXX}} S \cdot \frac{s}{n} = \frac{\cancel{s}}{\cancel{n}} \cdot \frac{\cancel{n}}{\cancel{s}} \left(A + t\right)$
and
$\textcolor{w h i t e}{\text{XXX}} S \cdot \frac{s}{n} - t = A$

Note: if $S$ and $s$ are suppose to be the same variable then:
$\textcolor{w h i t e}{\text{XXX}} A = \frac{{s}^{2}}{n} - t$