Solve 3x-6xy=7

$$3 x - 6 x y = 7$$

Solve for x

$$x=\frac{7}{3\left(1-2y\right)}$$

$$y\neq \frac{1}{2}$$

Steps for Solving Linear Equation

Combine all terms containing x.

$$\left(3-6y\right)x=7$$

Divide both sides by 3-6y.

$$\frac{\left(3-6y\right)x}{3-6y}=\frac{7}{3-6y}$$

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

$$x=\frac{7}{3-6y}$$

Divide 7 by 3-6y.

$$x=\frac{7}{3\left(1-2y\right)}$$

Solve for y

$$y=\frac{1}{2}-\frac{7}{6x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$-6xy=7-3x$$

The equation is in standard form.

$$\left(-6x\right)y=7-3x$$

Divide both sides by -6x.

$$\frac{\left(-6x\right)y}{-6x}=\frac{7-3x}{-6x}$$

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

$$y=\frac{7-3x}{-6x}$$

Divide 7-3x by -6x.

$$y=\frac{1}{2}-\frac{7}{6x}$$