Solve x+2=1/y

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

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

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

Subtract y\times 2 from both sides.

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

Multiply -1 and 2 to get -2.

$$yx=1-2y$$

Divide both sides by y.

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

Dividing by y undoes the multiplication by y.

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

Divide 1-2y by y.

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

Solve for y

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

$$x\neq -2$$

Steps for Solving Linear Equation

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

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

Combine all terms containing y.

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

Divide both sides by 2+x.

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

Dividing by 2+x undoes the multiplication by 2+x.

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

Variable y cannot be equal to 0.

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