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Exercise:
Solve the following system of equations:
Using the explicit
formula for a Chinese remainder theorem solution for a system of two equations when the moduli are coprime, we find that the unique congruence class of solutions is:
 ≡  1 ⋅ (9 ⋅ 9^{1}) + 2 ⋅ (2 ⋅ 2^{1}) (mod (2 ⋅ 9)) 

 ≡  