Solve xy-4x+4y-16=60

$$x y - 4 x + 4 y - 16 = 60$$

Solve for x

$$x=-\frac{4\left(y-19\right)}{y-4}$$

$$y\neq 4$$

Steps for Solving Linear Equation

Subtract 4y from both sides.

$$xy-4x-16=60-4y$$

Add 16 to both sides.

$$xy-4x=60-4y+16$$

Add 60 and 16 to get 76.

$$xy-4x=76-4y$$

Combine all terms containing x.

$$\left(y-4\right)x=76-4y$$

Divide both sides by -4+y.

$$\frac{\left(y-4\right)x}{y-4}=\frac{76-4y}{y-4}$$

Dividing by -4+y undoes the multiplication by -4+y.

$$x=\frac{76-4y}{y-4}$$

Divide 76-4y by -4+y.

$$x=\frac{4\left(19-y\right)}{y-4}$$

Solve for y

$$y=\frac{4\left(x+19\right)}{x+4}$$

$$x\neq -4$$

Steps for Solving Linear Equation

Add 4x to both sides.

$$xy+4y-16=60+4x$$

Add 16 to both sides.

$$xy+4y=60+4x+16$$

Add 60 and 16 to get 76.

$$xy+4y=76+4x$$

Combine all terms containing y.

$$\left(x+4\right)y=76+4x$$

The equation is in standard form.

$$\left(x+4\right)y=4x+76$$

Divide both sides by x+4.

$$\frac{\left(x+4\right)y}{x+4}=\frac{4x+76}{x+4}$$

Dividing by x+4 undoes the multiplication by x+4.

$$y=\frac{4x+76}{x+4}$$

Divide 76+4x by x+4.

$$y=\frac{4\left(x+19\right)}{x+4}$$