Question

Which answer best describes the solution to the equation

3m – 9 = 9 + 3m?

A.
one solution

B.
no solution

C.
an infinite number of solutions

D.
m = 27

Answer 1

3m - 9 = 9 + 3m
-3m -3m
0m - 9 = 9
+9 +9
0m = 18
0 0
m = 0
B. no solution

Answer 2

let's check
3m - 9 = 9+3m
collect like terms
3m -3m = 9 + 9
0m = 18
which is not possible, so it will not have any solutions