Solve y=1/m+2

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

Solve for m

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

$$y\neq 0$$

Steps for Solving Linear Equation

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

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

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

$$ym+2y=1$$

Subtract 2y from both sides.

$$ym=1-2y$$

Divide both sides by y.

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

Dividing by y undoes the multiplication by y.

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

Divide 1-2y by y.

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

Variable m cannot be equal to -2.

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

Solve for y

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

$$m\neq -2$$