B. Using Fermat's Theorem •Determine all solutions of the equation 6x = 18 in Z24. •Describe all solutions to the congruence 39x = 123(mod 15).

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Q: {-74 + 1, ..., 74 – 1}. (b) Hence, find a solution to the congruence x' = 99 mod 74.

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Q: 1. Find all simultaneous solutions of the congruences: (a) X= 3 mod 5 x= 4 mod 6

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A: Given, 6x≡15 mod 18. As it is known that, an≡bn mod cn ⇔ a≡b mod c. Therefore, we have 6x≡15 mod 18…

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Q: using the Chinese Remainder Theorem how do I solve this systm of congruences?? 2x ≡ 1 (mod 5) 5x ≡ 4…

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Q: Find the solutions of the congruence 15z + 19x = 5 (mod 11)

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Q: X=1 (mod 81) and X = 7 (mod 12), as the solutions to a single congruence.

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Q: Using Fermat's little theorem, find the solutions of the following linear congruences. a) 7x ≡ 12…

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Q: 3. Find the residue of 20211202 mod2022 using Euler's Theorem.

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Q: 3.2.6 Find all solutions x to the congruence equation 12x = 1 (mod 17)

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Q: ulus) 1) Solve the following congruences system. 5x +4 = 12 (Mod 7) 14x - 3 = 19 (Mod 5) 2) Prove…

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Q: Either solve the congruence, giving the solution as a least residue, or show that it has no…

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