Solve x=1/y+2

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by y+2.

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

Use the distributive property to multiply x by y+2.

$$xy+2x=1$$

Subtract 2x from both sides.

$$xy=1-2x$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide 1-2x by x.

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

Variable y cannot be equal to -2.

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

Solve for x

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

$$y\neq -2$$