Question

Which of the following is the solution set of the given equation? 14 + 8m = 14 - 3m - 5m ∅ {0} {all reals}

Answer 1

{0}

Explanation:

The given equation is

`14+8m=14-3m-5m`

We need to find the solution set of given equation.

Combine like terms on the right side of the given equation.

`14+8m=14+(-3m-5m)`

`14+8m=14+(-8m)`

`14+8m=14-8m`

Add 8m on both sides.

`14+8m+8m=14-8m+8m`

`14+16m=14`

Subtract 14 from both sides.

`14+16m-14=14-14`

`16m=0`

Divide both sides by 16.

`m=(0)/(16)`

`m=0`

Therefore, the solution set is {0}.

Answer 2

{0}

Explanation:

14 + 8m = 14 - 3m - 5m

Combine like terms

14 + 8m = 14 - 8m

Add 8m to each side

14 +8m +8m = 14 -8m +8m

14 +16m = 14

Subtract 14 from each side

14-14 +16m = 14-14

16m = 0

Divide by 16

16m/16 = 0/16

m = 0