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1. (i) find all solutions for the following congruence 370x ≡ 80 (mod 200) (ii) find...

1. (i) find all solutions for the following congruence 370x ≡ 80 (mod 200)

(ii) find the first two positive solutions to the system of 3 congruence equations

x ≡ 3 (mod 9) x ≡ 9 (mod 12) x ≡ 7 (mod 22)

(notice how the m1, m2, m3 are not co-prime!)

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