1. Find the value of x_{2} and y_{2} from the given values (a, b) = (16, 10374) by using extended Euclidean algorithm.

2. Find the x value for the equation x_{2} ≡ 1 (mod 35) using CRT.

3. Find the x value for the system of congruences.

x ≡34 mod

x ≡25 mod

## Solution:

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