Answer:
Neither.
But possibly B.
Step-by-step explanation:
A system of equations has the same solution if it can be reduced to the same equation by simplification.
For example, x+y=2 and y=1 has the solution x=1
likewise, 10x+10y=20 and 4y=4 has the solution x=1.
This is easy to see by dividing the first by 10 and the second equation by 4, leaving you with the original system x+y=2 and y=1.
For your case, none of the options are correct, but assuming you missed the negative sign on the 16 in system B, then it would be correct.
B. 40x+50y=130 and 5x-4y=-16
divide by 10 (equation 1) and multiply by 2 (equation 2):
B is now: 4x+5y=13 and 10x-8y=-32
Since B is exactly equivalent to the original system, their solutions must be the same.
