Question: 1. (a) Use the Extended Euclidean Algorithm to compute the inverse of 3 (mod 10). Show all of your work and clearly explain your reasoning.

(a) Use the Extended Euclidean Algorithm to compute the inverse of 3 (mod 10). Show all of your work and clearly explain your reasoning. (b) Find all solutions to the following linear congruences: 9x + 4 12 (mod 7). Show all of your work and clearly explain your reasoning.

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