Solve y=50/x-50

$$y = \frac { 50 } { x - 50 }$$

Solve for x

$$x=50+\frac{50}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 50 since division by zero is not defined. Multiply both sides of the equation by x-50.

$$y\left(x-50\right)=50$$

Use the distributive property to multiply y by x-50.

$$yx-50y=50$$

Add 50y to both sides.

$$yx=50+50y$$

The equation is in standard form.

$$yx=50y+50$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{50y+50}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{50y+50}{y}$$

Divide 50+50y by y.

$$x=50+\frac{50}{y}$$

Variable x cannot be equal to 50.

$$x=50+\frac{50}{y}\text{, }x\neq 50$$

Solve for y

$$y=\frac{50}{x-50}$$

$$x\neq 50$$