Solve 6y-2y=xy

$$6 y - 2 y = x y$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=4\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine 6y and -2y to get 4y.

$$4y=xy$$

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

$$xy=4y$$

The equation is in standard form.

$$yx=4y$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{4y}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{4y}{y}$$

Divide 4y by y.

$$x=4$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=4\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine 6y and -2y to get 4y.

$$4y=xy$$

Subtract xy from both sides.

$$4y-xy=0$$

Combine all terms containing y.

$$\left(4-x\right)y=0$$

Divide 0 by 4-x.

$$y=0$$

Solve for x

$$\left\{\begin{matrix}\\x=4\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine 6y and -2y to get 4y.

$$4y=xy$$

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

$$xy=4y$$

The equation is in standard form.

$$yx=4y$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{4y}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{4y}{y}$$

Divide 4y by y.

$$x=4$$

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=4\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine 6y and -2y to get 4y.

$$4y=xy$$

Subtract xy from both sides.

$$4y-xy=0$$

Combine all terms containing y.

$$\left(4-x\right)y=0$$

Divide 0 by 4-x.

$$y=0$$