14x + 7y = 315 reduces to 2x + y = 45
16x - 2y = 610 reduces to 8x - y = 305
2x + y = 45
8x - y = 305
----------------add
10x = 350
x = 350/10
x = 35
I didn't figure y because it is not needed to determine the number of solutions
I can tell u right now it will have 1 solution