Pick one of the equations to try the answers in. The second equation looks easiest to me.
Answer A: -4(-2) + (-3) = 8 - 3 = 5 ≠ 16 (not the answer)
Answer B: -4(1) + (0) = -4 ≠ 16 (not the answer)
Answer C: -4(-2 1/2) + 6 = 10 + 6 = 16 (is the answer, but you knew this already because you eliminated the other two choices)
This can be a lot faster than trying to solve the equations.
If you practice solving systems of equations so you get good at it, you can recognize the first equation is really -2x + y = 11. Your equation solving experience will tell you that you can subtract the second equation to eliminate y and get
(-2x + y) - (-4x + y) = (11) - (16)
2x = -5
x = -2 1/2
Compare this to the answers given and you will know which is most likely to be correct.
Answer A: -4(-2) + (-3) = 8 - 3 = 5 ≠ 16 (not the answer)
Answer B: -4(1) + (0) = -4 ≠ 16 (not the answer)
Answer C: -4(-2 1/2) + 6 = 10 + 6 = 16 (is the answer, but you knew this already because you eliminated the other two choices)
This can be a lot faster than trying to solve the equations.
If you practice solving systems of equations so you get good at it, you can recognize the first equation is really -2x + y = 11. Your equation solving experience will tell you that you can subtract the second equation to eliminate y and get
(-2x + y) - (-4x + y) = (11) - (16)
2x = -5
x = -2 1/2
Compare this to the answers given and you will know which is most likely to be correct.
