Solve u_{e}=R_{z}xI_{j}

$$u _ { e } = R _ { z } x I _ { j }$$

Solve for I_j (complex solution)

$$\left\{\begin{matrix}I_{j}=\frac{u_{e}}{R_{z}x}\text{, }&x\neq 0\text{ and }R_{z}\neq 0\\I_{j}\in \mathrm{C}\text{, }&\left(x=0\text{ or }R_{z}=0\right)\text{ and }u_{e}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$R_{z}xI_{j}=u_{e}$$

Divide both sides by R_{z}x.

$$\frac{R_{z}xI_{j}}{R_{z}x}=\frac{u_{e}}{R_{z}x}$$

Dividing by R_{z}x undoes the multiplication by R_{z}x.

$$I_{j}=\frac{u_{e}}{R_{z}x}$$

Solve for R_z (complex solution)

$$\left\{\begin{matrix}R_{z}=\frac{u_{e}}{I_{j}x}\text{, }&I_{j}\neq 0\text{ and }x\neq 0\\R_{z}\in \mathrm{C}\text{, }&\left(I_{j}=0\text{ or }x=0\right)\text{ and }u_{e}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$R_{z}xI_{j}=u_{e}$$

The equation is in standard form.

$$I_{j}xR_{z}=u_{e}$$

Divide both sides by xI_{j}.

$$\frac{I_{j}xR_{z}}{I_{j}x}=\frac{u_{e}}{I_{j}x}$$

Dividing by xI_{j} undoes the multiplication by xI_{j}.

$$R_{z}=\frac{u_{e}}{I_{j}x}$$

Solve for I_j

$$\left\{\begin{matrix}I_{j}=\frac{u_{e}}{R_{z}x}\text{, }&x\neq 0\text{ and }R_{z}\neq 0\\I_{j}\in \mathrm{R}\text{, }&\left(x=0\text{ or }R_{z}=0\right)\text{ and }u_{e}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$R_{z}xI_{j}=u_{e}$$

Divide both sides by R_{z}x.

$$\frac{R_{z}xI_{j}}{R_{z}x}=\frac{u_{e}}{R_{z}x}$$

Dividing by R_{z}x undoes the multiplication by R_{z}x.

$$I_{j}=\frac{u_{e}}{R_{z}x}$$

Solve for R_z

$$\left\{\begin{matrix}R_{z}=\frac{u_{e}}{I_{j}x}\text{, }&I_{j}\neq 0\text{ and }x\neq 0\\R_{z}\in \mathrm{R}\text{, }&\left(I_{j}=0\text{ or }x=0\right)\text{ and }u_{e}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$R_{z}xI_{j}=u_{e}$$

The equation is in standard form.

$$I_{j}xR_{z}=u_{e}$$

Divide both sides by xI_{j}.

$$\frac{I_{j}xR_{z}}{I_{j}x}=\frac{u_{e}}{I_{j}x}$$

Dividing by xI_{j} undoes the multiplication by xI_{j}.

$$R_{z}=\frac{u_{e}}{I_{j}x}$$