I see, that makes sense  ---  

this is what I am trying to do  -- is there a way to have it to return uk = 
w-y ?   when I ask it to solve for both [uk,x]  then I do get uk = w-y , but 
other combinations don't work (e.g., [uk, y] etc)

sage: solve([uk + x + 2*y == A*B,   w + x + y == A*B],[uk])
[]
sage: solve([uk + x + 2*y == A*B,   w + x + y == A*B],[uk,x])
[[uk == w - y, x == A*B - w - y]]
sage: solve([uk + x + 2*y == A*B,   w + x + y == A*B],[uk,y])
[[uk == -A*B + 2*w + x, y == A*B - w - x]]


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