Solve 2xy-6y4=0

$$2 x y - 6 y 4 = 0$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{3y_{4}}{y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&y_{4}=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y_{4} to both sides. Anything plus zero gives itself.

$$2xy=6y_{4}$$

The equation is in standard form.

$$2yx=6y_{4}$$

Divide both sides by 2y.

$$\frac{2yx}{2y}=\frac{6y_{4}}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

$$x=\frac{6y_{4}}{2y}$$

Divide 6y_{4} by 2y.

$$x=\frac{3y_{4}}{y}$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=\frac{3y_{4}}{x}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&y_{4}=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y_{4} to both sides. Anything plus zero gives itself.

$$2xy=6y_{4}$$

Divide both sides by 2x.

$$\frac{2xy}{2x}=\frac{6y_{4}}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$y=\frac{6y_{4}}{2x}$$

Divide 6y_{4} by 2x.

$$y=\frac{3y_{4}}{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{3y_{4}}{y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&y_{4}=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y_{4} to both sides. Anything plus zero gives itself.

$$2xy=6y_{4}$$

The equation is in standard form.

$$2yx=6y_{4}$$

Divide both sides by 2y.

$$\frac{2yx}{2y}=\frac{6y_{4}}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

$$x=\frac{6y_{4}}{2y}$$

Divide 6y_{4} by 2y.

$$x=\frac{3y_{4}}{y}$$

Solve for y

$$\left\{\begin{matrix}y=\frac{3y_{4}}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&y_{4}=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y_{4} to both sides. Anything plus zero gives itself.

$$2xy=6y_{4}$$

Divide both sides by 2x.

$$\frac{2xy}{2x}=\frac{6y_{4}}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$y=\frac{6y_{4}}{2x}$$

Divide 6y_{4} by 2x.

$$y=\frac{3y_{4}}{x}$$