Solve x-3xy-6y=0

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

Solve for x

$$x=\frac{6y}{1-3y}$$

$$y\neq \frac{1}{3}$$

Steps for Solving Linear Equation

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

$$x-3xy=6y$$

Combine all terms containing x.

$$\left(1-3y\right)x=6y$$

Divide both sides by 1-3y.

$$\frac{\left(1-3y\right)x}{1-3y}=\frac{6y}{1-3y}$$

Dividing by 1-3y undoes the multiplication by 1-3y.

$$x=\frac{6y}{1-3y}$$

Solve for y

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

$$x\neq -2$$

Steps for Solving Linear Equation

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

$$-3xy-6y=-x$$

Combine all terms containing y.

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

Divide both sides by -3x-6.

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

Dividing by -3x-6 undoes the multiplication by -3x-6.

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

Divide -x by -3x-6.

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