Solve 2y+2x=xy

$$2 y + 2 x = x y$$

Solve for x

$$x=-\frac{2y}{2-y}$$

$$y\neq 2$$

Steps for Solving Linear Equation

Subtract xy from both sides.

$$2y+2x-xy=0$$

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$2x-xy=-2y$$

Combine all terms containing x.

$$\left(2-y\right)x=-2y$$

Divide both sides by 2-y.

$$\frac{\left(2-y\right)x}{2-y}=-\frac{2y}{2-y}$$

Dividing by 2-y undoes the multiplication by 2-y.

$$x=-\frac{2y}{2-y}$$

Solve for y

$$y=-\frac{2x}{2-x}$$

$$x\neq 2$$

Steps for Solving Linear Equation

Subtract xy from both sides.

$$2y+2x-xy=0$$

Subtract 2x from both sides. Anything subtracted from zero gives its negation.

$$2y-xy=-2x$$

Combine all terms containing y.

$$\left(2-x\right)y=-2x$$

Divide both sides by 2-x.

$$\frac{\left(2-x\right)y}{2-x}=-\frac{2x}{2-x}$$

Dividing by 2-x undoes the multiplication by 2-x.

$$y=-\frac{2x}{2-x}$$