Question

Solve for m 1/3=12-m

Answer 1

`12-m=(1)/(3)\qquad\text{subtract 12 from both sides}\\\\-m=-11(2)/(3)\qquad\text{change the signs}\\\\\boxed{m=11(2)/(3)}`

Answer 2

m = 35/3 or 11 2/3

Explanation:

1/3=12-m

Subtract 12 from each side

1/3 - 12 = -m

Get a common denominator

1/3 - 12*3/3 = -m

1/3 - 36/3 = -m

-35/3 = -m

Multiply by -1

-1* -35/3 = -1 *-m

35/3 = m

Changing to a mixed number

3 goes into 35 11 times with 2 left over

11 2/3