All The Digits - 3

Number Theory Level pending

A x + B = C A x + B = C
D y E = F D y - E = F

If A , B , C , D , E A, B, C, D, E and F F are distinct positive digits such that we have integer solutions to the above system of equations, what is the smallest possible value of x + y x + y ?

6 -6 -3 3

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