Solve x*y-x-2*y=6

$$x \times y-x-2 \times y=6$$

Solve for x

$$x=\frac{2\left(y+3\right)}{y-1}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Add 2y to both sides.

$$xy-x=6+2y$$

Combine all terms containing x.

$$\left(y-1\right)x=6+2y$$

The equation is in standard form.

$$\left(y-1\right)x=2y+6$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{2y+6}{y-1}$$

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

$$x=\frac{2y+6}{y-1}$$

Divide 6+2y by y-1.

$$x=\frac{2\left(y+3\right)}{y-1}$$

Solve for y

$$y=\frac{x+6}{x-2}$$

$$x\neq 2$$

Steps for Solving Linear Equation

Add x to both sides.

$$xy-2y=6+x$$

Combine all terms containing y.

$$\left(x-2\right)y=6+x$$

The equation is in standard form.

$$\left(x-2\right)y=x+6$$

Divide both sides by x-2.

$$\frac{\left(x-2\right)y}{x-2}=\frac{x+6}{x-2}$$

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

$$y=\frac{x+6}{x-2}$$