First, I will say that In this system, I know the actual value of A,B,C,D,E,F. I want to solve for G,H,I,J,K,L. I know that there is a solution of whole numbers. And I know the following:
A = G+H
B = I+J
C = K+L
D = G+H+I+J+K+L
E = G+I+K
F = H+J+L
So, if I know the integer values of ABCDEF, is it possible to solve for GHIJKL?
Just to be clear, A,B,C,D,E, and F all have different integer values. But this isn't a specific situation, so I am trying to learn how to solve it in general