Solve y=1-1/x

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

Solve for x

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

$$y\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$yx=x-1$$

Subtract x from both sides.

$$yx-x=-1$$

Combine all terms containing x.

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

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=-\frac{1}{y-1}$$

Dividing by y-1 undoes the multiplication by y-1.

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

Variable x cannot be equal to 0.

$$x=-\frac{1}{y-1}\text{, }x\neq 0$$

Solve for y

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

$$x\neq 0$$