Okay, let's solve this step-by-step:
1) Set the demand and supply functions equal to each other:
Q = 200 - 50P
S = 50 + 25P
2) Set them equal and solve for P:
200 - 50P = 50 + 25P
150 = 75P
P = 2
3) Plug P = 2 back into either function to find Q:
Q = 200 - 50(2) = 200 - 100 = 100
Therefore, the equilibrium point is P = 2, Q = 100.