Solve y=I_{n}x

$$y = I _ { n } x$$

Solve for I_n (complex solution)

$$\left\{\begin{matrix}I_{n}=\frac{y}{x}\text{, }&x\neq 0\\I_{n}\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$I_{n}x=y$$

The equation is in standard form.

$$xI_{n}=y$$

Divide both sides by x.

$$\frac{xI_{n}}{x}=\frac{y}{x}$$

Dividing by x undoes the multiplication by x.

$$I_{n}=\frac{y}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y}{I_{n}}\text{, }&I_{n}\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }I_{n}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$I_{n}x=y$$

Divide both sides by I_{n}.

$$\frac{I_{n}x}{I_{n}}=\frac{y}{I_{n}}$$

Dividing by I_{n} undoes the multiplication by I_{n}.

$$x=\frac{y}{I_{n}}$$

Solve for I_n

$$\left\{\begin{matrix}I_{n}=\frac{y}{x}\text{, }&x\neq 0\\I_{n}\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$I_{n}x=y$$

The equation is in standard form.

$$xI_{n}=y$$

Divide both sides by x.

$$\frac{xI_{n}}{x}=\frac{y}{x}$$

Dividing by x undoes the multiplication by x.

$$I_{n}=\frac{y}{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{I_{n}}\text{, }&I_{n}\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }I_{n}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$I_{n}x=y$$

Divide both sides by I_{n}.

$$\frac{I_{n}x}{I_{n}}=\frac{y}{I_{n}}$$

Dividing by I_{n} undoes the multiplication by I_{n}.

$$x=\frac{y}{I_{n}}$$