Solve V:I=V/R

$$V : I = \frac { V } { R }$$

Solve for I

$$\left\{\begin{matrix}I=R\text{, }&R\neq 0\\I\neq 0\text{, }&V=0\text{ and }R\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable I cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by IR, the least common multiple of I,R.

$$RV=IV$$

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

$$IV=RV$$

The equation is in standard form.

$$VI=RV$$

Divide both sides by V.

$$\frac{VI}{V}=\frac{RV}{V}$$

Dividing by V undoes the multiplication by V.

$$I=\frac{RV}{V}$$

Divide RV by V.

$$I=R$$

Variable I cannot be equal to 0.

$$I=R\text{, }I\neq 0$$

Solve for R

$$\left\{\begin{matrix}R=I\text{, }&I\neq 0\\R\neq 0\text{, }&V=0\text{ and }I\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by IR, the least common multiple of I,R.

$$RV=IV$$

The equation is in standard form.

$$VR=IV$$

Divide both sides by V.

$$\frac{VR}{V}=\frac{IV}{V}$$

Dividing by V undoes the multiplication by V.

$$R=\frac{IV}{V}$$

Divide IV by V.

$$R=I$$

Variable R cannot be equal to 0.

$$R=I\text{, }R\neq 0$$