Solve y=3/x-2

$$y = \frac { 3 } { x - 2 }$$

Solve for x

$$x=2+\frac{3}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.

$$y\left(x-2\right)=3$$

Use the distributive property to multiply y by x-2.

$$yx-2y=3$$

Add 2y to both sides.

$$yx=3+2y$$

The equation is in standard form.

$$yx=2y+3$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{2y+3}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{2y+3}{y}$$

Divide 3+2y by y.

$$x=2+\frac{3}{y}$$

Variable x cannot be equal to 2.

$$x=2+\frac{3}{y}\text{, }x\neq 2$$

Solve for y

$$y=\frac{3}{x-2}$$

$$x\neq 2$$