Given that the solution of the system of equations ax + by = C, ex + dy = f for XY is x = 3, y = 2, what is the solution of the system of equations a (X-Y) + B (x + y) = C, e (X-Y) + D (x + y) = f for X and y?

Given that the solution of the system of equations ax + by = C, ex + dy = f for XY is x = 3, y = 2, what is the solution of the system of equations a (X-Y) + B (x + y) = C, e (X-Y) + D (x + y) = f for X and y?

, ax + by = C, ex + dy = F. a (X-Y) + B (x + y) = C, e (X-Y) + D (x + y) = F. according to the observation of two sets of equations, we can see that X of the first group is equivalent to X-Y of the second group, y of the first group is equivalent to x + y of the second group, so we can list the binary linear equations: X-Y = 3, x + y = 2, and the simultaneous solution is x = 2.5, y = - 0.5
For this kind of problem, we need to use the whole substitution method and the idea of substitution