Answer:
A) infinitely many solutions
Step-by-step explanation:
2x - y = 8
4x - 2y = 16
simplify the first equation
2x - y = 8
2x = 8 + y
2x - 8 = y
y = 2x - 8
substitute y for 2x - 8 in the second equation
4x - 2y = 16
4x - 2(2x - 8) = 16
4x - 4x + 16 = 16
4x - 4x = 16 - 16
0x = 0
since no matter what x is, 0 = 0, the answer is infinitely many solutions
M = (x1 + x2 / 2 , y1 + y2 / 2 )
Essentially you take the two points that the line ends and begins on. (x1, y1) and (x2, y2) then add the x's and the y's together and divide them by two and you have two points. That's the midpoint.
Hope this is helpful and I'm onto the right topic!
1/4 : 2 or 1/8 : 1. That is how I would have done it. I hope this helps you.