Problem:
Solve the linear congruence 17x ≡ 3 (mod 2 * 3 * 5 * 7) by solving the system:
a) 17x ≡ 3 (mod 2)
b) 17x ≡ 3 (mod 3)
c) 17x ≡ 3 (mod 5)
d) 17x ≡ 3 (mod 7)
I have been able to solve a), c) and d but I can't solve b. I need all solutions in order to solve the linear congruence. Can anyone help? Thank you!