Solve xy-3x-6=0

$$x y - 3 x - 6 = 0$$

Solve for x

$$x=\frac{6}{y-3}$$

$$y\neq 3$$

Steps for Solving Linear Equation

Add 6 to both sides. Anything plus zero gives itself.

$$xy-3x=6$$

Combine all terms containing x.

$$\left(y-3\right)x=6$$

Divide both sides by y-3.

$$\frac{\left(y-3\right)x}{y-3}=\frac{6}{y-3}$$

Dividing by y-3 undoes the multiplication by y-3.

$$x=\frac{6}{y-3}$$

Solve for y

$$y=3+\frac{6}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Add 3x to both sides. Anything plus zero gives itself.

$$xy-6=3x$$

Add 6 to both sides.

$$xy=3x+6$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{3x+6}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{3x+6}{x}$$

Divide 6+3x by x.

$$y=3+\frac{6}{x}$$