Solve xy=38x+38y

$$x y = 38 x + 38 y$$

Solve for x

$$x=\frac{38y}{y-38}$$

$$y\neq 38$$

Steps for Solving Linear Equation

Subtract 38x from both sides.

$$xy-38x=38y$$

Combine all terms containing x.

$$\left(y-38\right)x=38y$$

Divide both sides by y-38.

$$\frac{\left(y-38\right)x}{y-38}=\frac{38y}{y-38}$$

Dividing by y-38 undoes the multiplication by y-38.

$$x=\frac{38y}{y-38}$$

Solve for y

$$y=\frac{38x}{x-38}$$

$$x\neq 38$$

Steps for Solving Linear Equation

Subtract 38y from both sides.

$$xy-38y=38x$$

Combine all terms containing y.

$$\left(x-38\right)y=38x$$

Divide both sides by x-38.

$$\frac{\left(x-38\right)y}{x-38}=\frac{38x}{x-38}$$

Dividing by x-38 undoes the multiplication by x-38.

$$y=\frac{38x}{x-38}$$