Question

In the following exercises, solve.

$m=\frac{n}{2-n}forn$

Short answer

The solution is$\frac{2m}{1+m}=n.$

Step-by-step solution

Step 1. Given Information.

The given equation is $m=\frac{n}{2-n}forn.$

Step 2. Solve 

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD, $2-n$

localid="1647855144525" $$\begin{gathered} m\times \left(2-n\right)=\frac{n}{2-n}\times \left(2-n\right) \\ 2m-mn=n \\ 2m=n+mn \\ 2m=n(1+m) \\ \frac{2m}{1+m}=n \end{gathered}$$