[JeanLucPicard]

Can anyone solve this:

a x b y ax+by
_ 1 _ 20 C
_ 2 _ 18 C
_ 3 _ 16 C
_ 4 _ 14 C
_ 5 _ 12 C


given the data of x and y, what values of a and b do we need to make sure ax+by is always C. What I mean is that a(1)+b(20) = a(2)+b(18)= ... so on

edit: of course a and b dont have to be the same in all equations. the main task is to have ax+by always give the same number


This is something I was randomly thinking off; nothing to do with academics