Solve y=2/x-1

$$y= \frac{ 2 }{ x } -1$$

Solve for x

$$x=\frac{2}{y+1}$$

$$y\neq -1$$

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.

$$yx=2+x\left(-1\right)$$

Subtract x\left(-1\right) from both sides.

$$yx-x\left(-1\right)=2$$

Multiply -1 and -1 to get 1.

$$yx+x=2$$

Combine all terms containing x.

$$\left(y+1\right)x=2$$

Divide both sides by y+1.

$$\frac{\left(y+1\right)x}{y+1}=\frac{2}{y+1}$$

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

$$x=\frac{2}{y+1}$$

Variable x cannot be equal to 0.

$$x=\frac{2}{y+1}\text{, }x\neq 0$$

Solve for y

$$y=-1+\frac{2}{x}$$

$$x\neq 0$$