Find a complete set of mutually incongruent solutions of each of the following.
(a) 7x is congruent to 5 (mod 11)
(b) 8x is congruent to 10 (mod 30)
(c) 9x is congruent to 12 (mod 15)
This solution is comprised of a detailed explanation for finding the complete set of mutually incongruent solutions of the equation of the linear congruences.