Solve y=400/x-400

$$y = \frac { 400 } { x - 400 }$$

Solve for x

$$x=400+\frac{400}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 400 since division by zero is not defined. Multiply both sides of the equation by x-400.

$$y\left(x-400\right)=400$$

Use the distributive property to multiply y by x-400.

$$yx-400y=400$$

Add 400y to both sides.

$$yx=400+400y$$

The equation is in standard form.

$$yx=400y+400$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{400y+400}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{400y+400}{y}$$

Divide 400+400y by y.

$$x=400+\frac{400}{y}$$

Variable x cannot be equal to 400.

$$x=400+\frac{400}{y}\text{, }x\neq 400$$

Solve for y

$$y=\frac{400}{x-400}$$

$$x\neq 400$$