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!