Hi, misclick
Let x and y represent the cost of the adult and student tickets resepctively:
2x + 4y = 14 |Jack
2x + 6y = 23 |Bill
-2x - 4y = -14
2x + 6y = 23
2y = 9
y = 4.50, cost of student ticket, as You said, does not make sense.
Check the money spent by each, possibly a typo there.
Sure sign of that would be the values given.