[quote=@Webmaster]
<Snipped quote by Mammalia>

Oh no.
[/quote]

Oh yes. I've finally gotten my system of equations down to five equations (from 7!) and they are:

0 = -91A + 9C - 82E + 9F
0 = -91A - 12C + 9D - 40E + 6F
2 = -1183A + 54C - 12D - 1114E + 48F
7 = -182A - 24C + 18D - 309E + 91F
0 = -296A - 6D - 254E - 7F

And now I'm trying to decide which one--the first or the last--to substitute from. I can only substitute for F because that's the only reasonable shared variable.