Solve R=N/sigmaA,N

$$R = \frac { N } { \sigma A } , N$$

Solve for A

$$\left\{\begin{matrix}A=\frac{N}{R\sigma }\text{, }&N\neq 0\text{ and }\sigma \neq 0\text{ and }R\neq 0\\A\neq 0\text{, }&R=0\text{ and }N=0\text{ and }\sigma \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable A cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by A\sigma .

$$RA\sigma =N$$

Reorder the terms.

$$AR\sigma =N$$

The equation is in standard form.

$$R\sigma A=N$$

Divide both sides by R\sigma .

$$\frac{R\sigma A}{R\sigma }=\frac{N}{R\sigma }$$

Dividing by R\sigma undoes the multiplication by R\sigma .

$$A=\frac{N}{R\sigma }$$

Variable A cannot be equal to 0.

$$A=\frac{N}{R\sigma }\text{, }A\neq 0$$

Solve for N

$$N=AR\sigma$$

$$\sigma \neq 0\text{ and }A\neq 0$$

Solution Steps

Multiply both sides of the equation by A\sigma .

$$RA\sigma =N$$

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

$$N=RA\sigma$$