Question:
Solutions of the systems of congruences
Find all solutions of each of the systems of congruences:-
(a) x is congruent to 1 (mod 2) (d) 4x is congruent to 2 (mod 6)
x is congruent to 2 (mod 3) 3x is congruent to 5 (mod 7)
x is congruent to 3 (mod 5) 2x is congruent to 4 (mod 11)
(b) x is congruent to 1 ( mod 3) (e) x is congruent to 1 (mod 3)
x is congruent to 3 ( mod 5 ) x is congruent to 2 (mod 4)
x is congruent to 5 ( mod 7) x is congruent to 3 ( mod 7)
x is congruent to 4 (mod 11)
(c) 3x is congruent to 1(mod 5) (f ) 2x is congruent to 1 (mod 5)
4x is congruent to 6 (mod 14) 3x is congruent to 9 (mod 6)
5x is congruent to 11 ( mod 3) 4x is congruent to 1 (mod 7)
5x is congruent to 9 (mod 11)