I am trying to do something like this -- it seems simple but I don't know 
how to do so in Sage

given a set of equations 

x == A*i + B*j
y == A*k + B*m
z == B*(j-m) + A*(i-k)

Now I want to solve for z in terms of x and y ,  simple algebra yields  z = 
x-y    .   How would I do so in Sage ?  is there a special name for this 
process ?    

Thanks,

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