Solve mx+y=0

$$m x + y = 0$$

Solve for m (complex solution)

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

Steps for Solving Linear Equation

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$mx=-y$$

The equation is in standard form.

$$xm=-y$$

Divide both sides by x.

$$\frac{xm}{x}=-\frac{y}{x}$$

Dividing by x undoes the multiplication by x.

$$m=-\frac{y}{x}$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$mx=-y$$

Divide both sides by m.

$$\frac{mx}{m}=-\frac{y}{m}$$

Dividing by m undoes the multiplication by m.

$$x=-\frac{y}{m}$$

Solve for m

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

Steps for Solving Linear Equation

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$mx=-y$$

The equation is in standard form.

$$xm=-y$$

Divide both sides by x.

$$\frac{xm}{x}=-\frac{y}{x}$$

Dividing by x undoes the multiplication by x.

$$m=-\frac{y}{x}$$

Solve for x

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

Steps for Solving Linear Equation

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$mx=-y$$

Divide both sides by m.

$$\frac{mx}{m}=-\frac{y}{m}$$

Dividing by m undoes the multiplication by m.

$$x=-\frac{y}{m}$$