Solve y=1/x+2

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

Solve for x

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

$$y\neq 2$$

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.

$$yx=1+x\times 2$$

Subtract x\times 2 from both sides.

$$yx-x\times 2=1$$

Multiply -1 and 2 to get -2.

$$yx-2x=1$$

Combine all terms containing x.

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

Divide both sides by y-2.

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

Dividing by y-2 undoes the multiplication by y-2.

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

Variable x cannot be equal to 0.

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

Solve for y

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

$$x\neq 0$$