Solve v=operatorname{Rx}I

$$v = \operatorname { Rx } I$$

Solve for I (complex solution)

$$\left\{\begin{matrix}I=\frac{v}{Rx}\text{, }&x\neq 0\text{ and }R\neq 0\\I\in \mathrm{C}\text{, }&\left(x=0\text{ or }R=0\right)\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$RxI=v$$

Divide both sides by Rx.

$$\frac{RxI}{Rx}=\frac{v}{Rx}$$

Dividing by Rx undoes the multiplication by Rx.

$$I=\frac{v}{Rx}$$

Solve for R (complex solution)

$$\left\{\begin{matrix}R=\frac{v}{Ix}\text{, }&I\neq 0\text{ and }x\neq 0\\R\in \mathrm{C}\text{, }&\left(I=0\text{ or }x=0\right)\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$RxI=v$$

The equation is in standard form.

$$IxR=v$$

Divide both sides by xI.

$$\frac{IxR}{Ix}=\frac{v}{Ix}$$

Dividing by xI undoes the multiplication by xI.

$$R=\frac{v}{Ix}$$

Solve for I

$$\left\{\begin{matrix}I=\frac{v}{Rx}\text{, }&x\neq 0\text{ and }R\neq 0\\I\in \mathrm{R}\text{, }&\left(x=0\text{ or }R=0\right)\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$RxI=v$$

Divide both sides by Rx.

$$\frac{RxI}{Rx}=\frac{v}{Rx}$$

Dividing by Rx undoes the multiplication by Rx.

$$I=\frac{v}{Rx}$$

Solve for R

$$\left\{\begin{matrix}R=\frac{v}{Ix}\text{, }&I\neq 0\text{ and }x\neq 0\\R\in \mathrm{R}\text{, }&\left(I=0\text{ or }x=0\right)\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$RxI=v$$

The equation is in standard form.

$$IxR=v$$

Divide both sides by xI.

$$\frac{IxR}{Ix}=\frac{v}{Ix}$$

Dividing by xI undoes the multiplication by xI.

$$R=\frac{v}{Ix}$$