Solve a+1/a+2=1m/a+2

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

Solve for a

$$a=m-1$$

$$m\neq -1$$

Solution Steps

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

$$a+1=1m$$

Subtract 1 from both sides.

$$a=1m-1$$

Reorder the terms.

$$a=m-1$$

Variable a cannot be equal to -2.

$$a=m-1\text{, }a\neq -2$$

Solve for m

$$m=a+1$$

$$a\neq -2$$

Solution Steps

Multiply both sides of the equation by a+2.

$$a+1=1m$$

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

$$1m=a+1$$

Reorder the terms.

$$m=a+1$$