Solve x/3-y/2=7

$$x / 3 - y / 2 = 7$$

Solve for x

$$x=\frac{3\left(y+14\right)}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2x-3y=42$$

Add 3y to both sides.

$$2x=42+3y$$

The equation is in standard form.

$$2x=3y+42$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{3y+42}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{3y+42}{2}$$

Divide 42+3y by 2.

$$x=\frac{3y}{2}+21$$

Solve for y

$$y=\frac{2\left(x-21\right)}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2x-3y=42$$

Subtract 2x from both sides.

$$-3y=42-2x$$

Divide both sides by -3.

$$\frac{-3y}{-3}=\frac{42-2x}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$y=\frac{42-2x}{-3}$$

Divide 42-2x by -3.

$$y=\frac{2x}{3}-14$$