Solve x-y+x*y=-2

$$x - y + x \cdot y = - 2$$

Solve for x

$$x=-\frac{2-y}{y+1}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Add y to both sides.

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

Combine all terms containing x.

$$\left(1+y\right)x=-2+y$$

The equation is in standard form.

$$\left(y+1\right)x=y-2$$

Divide both sides by 1+y.

$$\frac{\left(y+1\right)x}{y+1}=\frac{y-2}{y+1}$$

Dividing by 1+y undoes the multiplication by 1+y.

$$x=\frac{y-2}{y+1}$$

Solve for y

$$y=-\frac{x+2}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

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

Combine all terms containing y.

$$\left(-1+x\right)y=-2-x$$

The equation is in standard form.

$$\left(x-1\right)y=-x-2$$

Divide both sides by -1+x.

$$\frac{\left(x-1\right)y}{x-1}=\frac{-x-2}{x-1}$$

Dividing by -1+x undoes the multiplication by -1+x.

$$y=\frac{-x-2}{x-1}$$

Divide -2-x by -1+x.

$$y=-\frac{x+2}{x-1}$$