To find the mid point you must
x = (x1 + x2) / 2
y = (y1 + y2) / 2
(3,2.5)
Use elimination method - I am eliminaing the y-variable.
1(5x + 8y = 16) → 5x + 8y = 16
4(6x - 2y = 54) → 24x - 8y = 216
Add equations: 29x = 232
Divide by 29: x = 8
Answer: x = 8