Solve VII=I

$$V I I = I$$

Solve for V

$$\left\{\begin{matrix}V=\frac{1}{I}\text{, }&I\neq 0\\V\in \mathrm{R}\text{, }&I=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply I and I to get I^{2}.

$$VI^{2}=I$$

The equation is in standard form.

$$I^{2}V=I$$

Divide both sides by I^{2}.

$$\frac{I^{2}V}{I^{2}}=\frac{I}{I^{2}}$$

Dividing by I^{2} undoes the multiplication by I^{2}.

$$V=\frac{I}{I^{2}}$$

Divide I by I^{2}.

$$V=\frac{1}{I}$$

Solve for I

$$\left\{\begin{matrix}\\I=0\text{, }&\text{unconditionally}\\I=\frac{1}{V}\text{, }&V\neq 0\end{matrix}\right.$$