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Hahahaha! That is brilliant!
Unfortunately at one time I loved physics and group theory. I actually thought I was doing mathematics... Then like Saul, I was struck by lightning and saw the light. Computational mathematics!
I am doing a bit of EVERYTHING!
Your work looks like you are doing some kind of physics. You have my sympathy...
Math is hard work for everybody. Go over how you set the problem up there is certainly a mistake there.
THANK you for guiding me on this. Please don't waste your time here, I will go over this freshly again and see what I have done wrong. I HAVE to get to a stage with three equations in three unknowns, it just means my numbers were wrong earlier because a negative price cannot happen in this particular question, but thanks to you at least i can solve three equations in three unknowns!
P1 = ( - 1 / 2 ). If that does not fit then you have set the problem up wrong.
Wait I think I just did it, i got p1 = -1/2. We cannot have a negative price so I won't solve for p2 and p3 yet, I must have done something wrong earlier. This is awful I will not be asleep for a while.
You substitute for P1 in equation 3. That gives 2 equations with 2 unknowns. Can you solve now?
I tried substituting everything into everything, I keep going round in circles and have two unknowns in every equation. But this can be done apparantly it shouldn't be too difficult. I just cannot see it.
Did you use equation 1 and substitute for P1 into equation 3?
I think so, that's what I tried but I always got it wrong!
Oh my god?! How did you do that? This is incredible. Apologies for the delayed response, internet went down for over an hour.