# How do you solve for P in Q=Px+Pmt?

Apr 18, 2016

 color(green)(P=Q / ( x +mt)

#### Explanation:

$Q = \textcolor{g r e e n}{P} x + \textcolor{g r e e n}{P} m t$

color(green)(P is common to both terms of the L.H.S:

$Q = \textcolor{g r e e n}{P} \left(x + m t\right)$

$\frac{Q}{x + m t} = \textcolor{g r e e n}{P}$

$\textcolor{g r e e n}{P} = \frac{Q}{x + m t}$