Solve 1/x+2=y

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

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.

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

Subtract yx from both sides.

$$1+x\times 2-yx=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

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

Combine all terms containing x.

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

Divide both sides by 2-y.

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

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

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

Variable x cannot be equal to 0.

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

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

Swap sides so that all variable terms are on the left hand side.

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

The equation is in standard form.

$$xy=2x+1$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide 2x+1 by x.

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