Solve (x-25)*(120-y)=2000

$$(x-25) \times (120-y)=2000$$

Solve for x

$$x=-\frac{25\left(y-200\right)}{120-y}$$

$$y\neq 120$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-25 by 120-y.

$$120x-xy-3000+25y=2000$$

Add 3000 to both sides.

$$120x-xy+25y=2000+3000$$

Add 2000 and 3000 to get 5000.

$$120x-xy+25y=5000$$

Subtract 25y from both sides.

$$120x-xy=5000-25y$$

Combine all terms containing x.

$$\left(120-y\right)x=5000-25y$$

Divide both sides by 120-y.

$$\frac{\left(120-y\right)x}{120-y}=\frac{5000-25y}{120-y}$$

Dividing by 120-y undoes the multiplication by 120-y.

$$x=\frac{5000-25y}{120-y}$$

Divide 5000-25y by 120-y.

$$x=\frac{25\left(200-y\right)}{120-y}$$

Solve for y

$$y=-\frac{40\left(3x-125\right)}{25-x}$$

$$x\neq 25$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-25 by 120-y.

$$120x-xy-3000+25y=2000$$

Subtract 120x from both sides.

$$-xy-3000+25y=2000-120x$$

Add 3000 to both sides.

$$-xy+25y=2000-120x+3000$$

Add 2000 and 3000 to get 5000.

$$-xy+25y=5000-120x$$

Combine all terms containing y.

$$\left(-x+25\right)y=5000-120x$$

The equation is in standard form.

$$\left(25-x\right)y=5000-120x$$

Divide both sides by -x+25.

$$\frac{\left(25-x\right)y}{25-x}=\frac{5000-120x}{25-x}$$

Dividing by -x+25 undoes the multiplication by -x+25.

$$y=\frac{5000-120x}{25-x}$$

Divide 5000-120x by -x+25.

$$y=\frac{40\left(125-3x\right)}{25-x}$$