how to solve for the value of a in this congruence equation: ax ≡ 12 mod 32

Q: Solve the following Diophantine equation. 25x + 13y = 2

A: In this question, the concept of the Diophantine equation is applied. Diophantine equation A…

Q: A. 5x = -127 mod 15.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: The equation 20x=30 (mod 70) has: 10 non-congruent solutions modulo 70 None of these no solution…

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Q: Solve a congruence equation and give all the solutions: 3(x – 2) + 4x = 5x +8 (mod 31)

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Q: Solve 34X=77 mod 89 3. Solve

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Q: Find all solutions to the system of congruences: x ≡ 7 mod 12 x ≡ 37 mod 45 2x ≡ 134 mod 150

A: The given problem is to find the all solutions which satisfies the given system of linear…

Q: Find all solutions for x, up to congruence. x ≡ 1 mod 4 and x ≡ 7 mod 13.

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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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Q: Solve the congruency by finding the inverse: 7x = 9(mod 43)

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Q: Solve for : y = 14x + 4 (mod 51) Step 1. subtract 4 y- 4 154 Step 2. Find the multiplicative inverse…

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Q: 4. Solve the following quadratic congruences: 5x² + 6x + 1 = 0 (mod 23)

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Q: Solve the following linear congruence: 20x ≡ 18 mod 64.

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Q: Find the solutions for the following simultaneous congruence equations: x ≡ 2 mod 3, 5x ≡ 1 mod 4,…

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Q: By using the Euler's Theorem, solve 21x = 5 (mod 31).

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Q: Solve the givnen congruence x2 ≡ 9 (mod 600).

A: The given problem is to solve the given congruence equation. x2=9 (mod 600).

Q: the number of incongruent solution of the congruence 8x 10(mod6) is:

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Q: 3x = 11 (mod 20)

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Q: Question 3 Solve for x: 32+104 x(mod5) 04 O 2 MAR 21 MacBook Air

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Q: b) (42x = 12) mod 90

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the square roots of 10 (mod 31).

A: As you asked more than one question I solved the first one.

Q: For each of the following equations determine if they have a solution. If yes, find the solutions,…

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Q: Solve for x using The Division Algorithim : 937 =x (mod 4)

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Q: Find an integer A so that: A79 = 7 (mod 277) Please solve step by step thanks!

A: Given an equation. Let's solve for A.

Q: ) If 112021 =r (mod 13), Find out the value of r. Justify the answer with your work.

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Q: 10. A small clothing manufacturer produces two styles of sweaters: cardigan and pullover. She sells…

A: Given that, manufacturer sells x cardigan and y pullover sweaters. the selling price of a cardigan…

Q: the number of incongruent solution of the congruence 8x = 10(mod6) is: 1. 4 2) 8)

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Q: Explain why the following linear congruence has no solutions:   5x ≡ 16 (mod 45).

A: Explain why the following linear congruence has no solutions: 5x ≡ 16 (mod 45).

Q: 5. Solve the following quadratic congruence using the "completing the square" method: 9x² +66x +49 =…

A: 5. Given equation is 9x2+66x+49≡0(mod 79)   To Solve: Above quadratic congruence using the…

Q: k from problem 2 and the method used in the example at the end of solve the congruence: 7x³ = 6…

A: Given: Congruence is To Find : Solve the congruence equation

Q: Solve the quadratic congruence x² = 35 (mod 817).

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Q: Find a Diophantine equation equivalent to 3x = 5 (mod 11) and use the solution of the Diophantine…

A: Congruence : Let us consider the equation a ≡ b (mod m)  here on dividing a by m the remainder will…

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

A: It is given that X=1mod81 and X=7(mod12) Here a1=1,a2=7,n1=81,n2=12 Therefore:…

Q: Solve following congruence relations (write the solution set): b) 5x 7(mod 11). 2. a) 3x = 3(mod 5)

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Q: -) Find the solutions, if any, of each congruence. 21x 10 (mod 35) 9x = 15 (mod 21).

A: We know that, ax≡b mod n has solution if and only if gcd(a,n) divides b.

Q: or what values of k, x=4 will be a solution for 3x²+4x = k mod31?

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Q: Find all solutions to the congruence13x−3 = 4 (mod 26). If none exists, explain why.Your…

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Q: The number of mutually incongruent solution(s) of 306x = 90 (mod 360) 20 30 18 O 60

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