Solve y=mx_{k}

$$y = m x _ { k }$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{y}{x_{k}}\text{, }&x_{k}\neq 0\\m\in \mathrm{C}\text{, }&y=0\text{ and }x_{k}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$mx_{k}=y$$

The equation is in standard form.

$$x_{k}m=y$$

Divide both sides by x_{k}.

$$\frac{x_{k}m}{x_{k}}=\frac{y}{x_{k}}$$

Dividing by x_{k} undoes the multiplication by x_{k}.

$$m=\frac{y}{x_{k}}$$

Solve for x_k (complex solution)

$$\left\{\begin{matrix}x_{k}=\frac{y}{m}\text{, }&m\neq 0\\x_{k}\in \mathrm{C}\text{, }&y=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$mx_{k}=y$$

Divide both sides by m.

$$\frac{mx_{k}}{m}=\frac{y}{m}$$

Dividing by m undoes the multiplication by m.

$$x_{k}=\frac{y}{m}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{y}{x_{k}}\text{, }&x_{k}\neq 0\\m\in \mathrm{R}\text{, }&y=0\text{ and }x_{k}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$mx_{k}=y$$

The equation is in standard form.

$$x_{k}m=y$$

Divide both sides by x_{k}.

$$\frac{x_{k}m}{x_{k}}=\frac{y}{x_{k}}$$

Dividing by x_{k} undoes the multiplication by x_{k}.

$$m=\frac{y}{x_{k}}$$

Solve for x_k

$$\left\{\begin{matrix}x_{k}=\frac{y}{m}\text{, }&m\neq 0\\x_{k}\in \mathrm{R}\text{, }&y=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$mx_{k}=y$$

Divide both sides by m.

$$\frac{mx_{k}}{m}=\frac{y}{m}$$

Dividing by m undoes the multiplication by m.

$$x_{k}=\frac{y}{m}$$