Question

Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a
.

Step 1: [missing]

Step 2: 10+13a=10+13a


Step 3: The expressions are equivalent because they both equal the same value.

(1 point)
Responses

12a+10+a−a=10+a+12a−a

12 a plus 10 plus a minus a equals 10 plus a plus 12 a minus a

12a+10=10+12a

12 a plus 10 equals 10 plus 12 a

10+12a+a=10+13a

10 plus 12 a plus a equals 10 plus 13 a

12a+10+a−10=10+a+12a−10

Answer 1

12a+10+a−10 = 10+a+12a−10

(Then simplify: 12a+a = a+12a, use commutative property to get 13a = 13a, add 10 to both sides to get 10+13a = 10+13a.)