In reply to bradzy_c:
1) Re-arrange both equations to have P1 and P2 on one side, known number on the other.
(4.3)P1 + (1.2)P2 = 28.1
(4.1)P1 - (5.6)P2 = 9.6
2) multiply top equation by 5.6
(24.08)P1 + (6.72)P2 = 157.36
3) multiply bottom equation by 1.2
(4.92)P1 - (6-72)P2 = 9.6
4)add both equations together
(29.08) = 168.88 (P2 terms cancel each other out)
5) Re-arrange and solver for P1, P1 = 5.82
6) Sub P1 back into an earlier equation, say from step 2, and solve for P2
P2 = 2.55
My double check tells me this is correct.
So answer is:
P1 = 5.82
P2 = 2.55