[quote=@Mammalia]
And my new set of equations:

0 = -91A - 54C + 27D - 144E
18 = -2093A + 18C - 36D - 2030E
63 = 6643A - 1035C + 162D + 4681E
0 = -3301A + 63C - 54D - 2860E

Now I'm taking a break. Or, better yet, I'll solve the system using Wolfram ALpha because this is just getting out of hand.
[/quote]

Well whoop-de-do, Wolfram Alpha can't solve it. I'm done now.