The Linear Congruence ax=b (mod n) has a solution if gcd(a n)|b

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Proof that the Linear Congruence ax=b (mod n) has a solution if gcd(a, n)|b .

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Number Theory 51 - Theorem 3.6: Linear Congruence ax≡b(mod n) has a solution ⇔ d|b, where d=gcd(a,n)

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Number Theory | Linear Congruence Example 2

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61. Euler's Theorem to simplify Linear congruence 𝐚𝐱≡𝐛(𝐦𝐨𝐝 𝐦)

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Solving congruences, 3 introductory examples

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Number Theory | When does a linear congruence have a solution??

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Congruence, If the GCD is 1 then linear congruence has unique solution, Number Theory, Lec-84

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Congruences |Part 7| Linear Congruence and its solution

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Number Theory 52 - Corollary: If gcd(a,n)=1, then ax≡b(mod n) has a unique solution

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If (a, m)=d and d/b,then linear congruence ax=b(mod m) has exactly d solutions which are Incongruet

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Solving Linear Congruence: A Simple Example!

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Linear Congruence Equation, a counter example

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Solving Linear Congruences, Modular Arithmetic

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Linear Congruence ax congruent to b (mod m) has a solution iff d|m where (a,m)=b | Lecture-20

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Mastering Linear Congruence: Step-by-Step Solutions to Commonly Seen Equations

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Linear equations mod n

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Number Theory | Strategies for Solving Linear Congruence

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gcd(a,m) =1, ax congruence (mod n) unique sol.(A N T 34.H R BHAGAT.)

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Linear Congruences - Part- 2 InCongruent Solutions lecture - 49

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What does a ≡ b (mod n) mean? Basic Modular Arithmetic, Congruence

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Solving linear congruences -- Number Theory 10

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22. Introduction of Solution of Linear Congruence 𝒂𝒙 ≡ 𝒃(𝒎𝒐𝒅 𝒎)

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5 1 Linear Congruences

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GCD(a,b) as a linear combination of a and b, and computing inverse Modulo n