solving ax+by=c by

1 = 13n + 11mm = (1 - 13n) / 11m = (12 - 11 - 11n - 2n) / 11m = (12 - 2n)/11 - (n + 1)m = 2(6 - n)/11 - (n + 1)Let (6 - n) = 11k , k is any integer.n = 6 - 11kSubs into the original equation :1 = 13(6 - 11k) + 11m1 = 78 - 143k + 11m11m = 143k - 77m = 13k - 7SoThe Genernal solutions of m , n is given by :m = 13k - 7
n = 6 - 11k Where k is any integer.