100- 4 Px + Py +40 = 0

100- 4 Py + Px +40 = 0
Solve the above two equations to get Py = Px = 140/3.

How would you solve the two eq above??

Note that the two equations are not identical.

Rearrange the equations:
100- 4 Px + Py +40 = 0...(1)
100- 4 Py + Px +40 = 0...(2)

4Px-Py=140...(1a)
Px-4Py=-140...(1b)

Solve equations by elimination to get Px=Py=140/3

4*(1a)-(1b):
15Px=700, or Px=140/3

Similarly:
(1a)-4(1b):
-3Py=-420, or Py=140/3