Solve y=3/x-1

$$y = \frac { 3 } { x - 1 }$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.

$$y\left(x-1\right)=3$$

Use the distributive property to multiply y by x-1.

$$yx-y=3$$

Add y to both sides.

$$yx=3+y$$

The equation is in standard form.

$$yx=y+3$$

Divide both sides by y.

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

Dividing by y undoes the multiplication by y.

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

Variable x cannot be equal to 1.

$$x=\frac{y+3}{y}\text{, }x\neq 1$$

Solve for y

$$y=\frac{3}{x-1}$$

$$x\neq 1$$