Final answer:
After substituting m with 3/2, the equation 7m + 3 equals 13.5, which is the same result as the other side of the equation, 6 + 5m. Therefore, the equation is satisfied by m = 3/2. Therefore, the correct answer is Option B.
Step-by-step explanation:
The question asks us to consider if the equation 7m + 3 = 6 + 5m is satisfied for m = 3/2. To check this, we substitute m with 3/2 and simplify the equation.
Substituting m with 3/2:
7(3/2) + 3 = 6 + 5(3/2)
10.5 + 3 = 6 + 7.5
13.5 = 13.5
Since both sides of the equation are equal after substituting m with 3/2, we can say the equation is indeed satisfied by m = 3/2.