Solve xy--2x+3y=24

$$xy--2x+3y=24$$

Solve for x

$$x=-\frac{3\left(y-8\right)}{y+2}$$

$$y\neq -2$$

Steps for Solving Linear Equation

The opposite of -2x is 2x.

$$xy+2x+3y=24$$

Subtract 3y from both sides.

$$xy+2x=24-3y$$

Combine all terms containing x.

$$\left(y+2\right)x=24-3y$$

Divide both sides by y+2.

$$\frac{\left(y+2\right)x}{y+2}=\frac{24-3y}{y+2}$$

Dividing by y+2 undoes the multiplication by y+2.

$$x=\frac{24-3y}{y+2}$$

Divide 24-3y by y+2.

$$x=\frac{3\left(8-y\right)}{y+2}$$

Solve for y

$$y=-\frac{2\left(x-12\right)}{x+3}$$

$$x\neq -3$$

Steps for Solving Linear Equation

The opposite of -2x is 2x.

$$xy+2x+3y=24$$

Subtract 2x from both sides.

$$xy+3y=24-2x$$

Combine all terms containing y.

$$\left(x+3\right)y=24-2x$$

Divide both sides by x+3.

$$\frac{\left(x+3\right)y}{x+3}=\frac{24-2x}{x+3}$$

Dividing by x+3 undoes the multiplication by x+3.

$$y=\frac{24-2x}{x+3}$$

Divide 24-2x by x+3.

$$y=\frac{2\left(12-x\right)}{x+3}$$