Solve AR=PN

$$A R = P N$$

Solve for A

$$\left\{\begin{matrix}A=\frac{NP}{R}\text{, }&R\neq 0\\A\in \mathrm{R}\text{, }&\left(P=0\text{ or }N=0\right)\text{ and }R=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$RA=NP$$

Divide both sides by R.

$$\frac{RA}{R}=\frac{NP}{R}$$

Dividing by R undoes the multiplication by R.

$$A=\frac{NP}{R}$$

Solve for N

$$\left\{\begin{matrix}N=\frac{AR}{P}\text{, }&P\neq 0\\N\in \mathrm{R}\text{, }&\left(A=0\text{ or }R=0\right)\text{ and }P=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$PN=AR$$

Divide both sides by P.

$$\frac{PN}{P}=\frac{AR}{P}$$

Dividing by P undoes the multiplication by P.

$$N=\frac{AR}{P}$$