Solve 8 2x +34 (mod 13) 3x +4y = 2 (mod 13) الطرف Using elimination.

Q: Solve the linear congruence 7x = 13 (mod 19).

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Q: Find the answer of -16 mod 5

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Q: solve 6メミ q modis

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Q: Show that 2^645 -1 is a pseudoprime. i know 2>1 and 645 is composite. But how to prove 645 divides…

A: A pseudoprime or probable prime is actually not a prime number or it is a composite number which…

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

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Q: just give the handwritten solution. Solve the congruence: 7x^5 congruent to 6(mod 17)

A: The solution is given below

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 linear congruence 2370x ≡ 69 (mod 2517) or say why no solutions exist

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Q: For this question, explain the reason if no solution exists. Give a complete list of solutions if…

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Q: How would I solve for n and m (without a calculator)? Please explain. 5" = 3( mod 97) 5m = 7( mod…

A: to find the value of m , n when 5n≡3 mod 975m≡7 mod 97 (i) we can write 5n≡3 mod 97 as   5n=97s+3…

Q: Find all integer solutions to the equation 23. + 6x2 + x + 6 =1 mod 74. Explain your method and cite…

A: en x3+6x2+x+6 = 1 mod 71

Q: 10. (8 points) Solve 3x 2, (mod 7) or show that no solution exists.

A: Solution: The objective is to find the solutions of 3x≡2 (mod 7)

Q: 4. 8x = 12 (mod 20).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve 57x ≡ -3 (mod 50) for x

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Q: 3x = 11 (mod 20)

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

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (a) Solve for x if 25x = 15(mod 29).

A: Linear congruence

Q: Solve the equation modulo 5.  2x+3=1

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Q: Solve 2x-3x-65 0 mod 125

A: In the given question we have to find the solution of the congurent equation s.t…

Q: x3-3x2+27 is congruent to 0 (mod 225)

A: Consider the following problem  x3-3x2+27≡0mod 225 Prime factorization of 225 is 32×52 Now,…

Q: Solve for x : 5x ≡ 7 (mod 6).

A: Here remainder is 7 and modulus is 6 we can write it as  5x-7 =6n          Where  is an positive…

Q: Solve the congruence3x−7 = 2 (mod 16). Your solution should be positive and reduced modulo16.

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Q: 6. Solve the equation x + 3x + 17 = 0 (mod 21)

A: The Chinese reminder theorem:                    Let p and q are coprime. Then the system equations…

Q: Solve using binomial expansion (1 + i)20

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Q: Solve x21 ≡ 6 mod 7

A: If p is a prime number then xp-1≡1(mod p) for all x∈ℤ~pk  where pk denotes multiples of p . Suppose…

Q: Please explain how to solve: (5 · 17) (mod 8)

A: To solve  (5*17) (mod8) we use the properties of modulo

Q: solve for x^2 = 1 mod 8 and x^2 = 1 mod 10

A: Solution...

Q: Solve the equation 5x = 13 (mod 18)

A: Given: To solve: the equation 5x4≡13mod 18Formula: a≡bmod cis equivalent to saying by Euclid's…

Q: A password consists of 4 characters, the first 2 being letters in the (English) alphabet and the…

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Q: solve 2x 1(mod13)

A: We are given that 2x≡1(mod 13) ⇒2x-1 is divisible by 13. Consider , 2x-1=13m , where m∈Z ⇒x=13m+12,…

Q: Solve x2+3x+2 is congruent to 0 (mod 55)

A: 55=5×11 and gcd(5,11)=1, hence they are co-prime.The given system of equation x2+3x+2≡0mod 55 is…

Q: The equation 15x=30 (mod 50) has: 5 non-congruent solutions modulo 50 6 non-congruent solutions…

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Q: Use your work from problem 2 and the method used in the example at the end of Lecture 16 to solve…

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Q: Solve 66x = 111(mod 237).

A: mod of any quantity is positive  i.e ±a  =  a

Q: Solve 53x ≡ 31(mod85) in the form x ≡ b(modm), 0 < b < 85.

A: We will find out the required value.

Q: The equation 82x = 12 (mod 13) has O 1 incongruent solution modulo 12 O 4 incongruent solutions…

A: First Option Is Correct Answer.

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

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Q: solve 63164 . x = 2 mod 365

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Q: olve the congruence8x= 16 (mod 424).  If none exists, explain why.  If there are one or…

A: The given equation is: 8x≡16mod 424

Q: Solve 37x 10 mod 50O

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Q: 9. a. Solve xQ + Q – 4 = 3Q + 5 (mod 2Q), where Q = 2 b. Find the quotient and remainder when Q is…

A: 9. a) Given congruence is xQ+Q-4≡3Q+5mod 2Q where Q=2 Using the value Q=2 in the given congruence…

Q: solve by means of a derivation, the congrucnce equation; 10x= 4 (mod 2a) Express ansurer in form X=…

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Q: Solve 55x ≡ 2(mod243) by inverse method.

A: Given 55x≡2mod 243. Solve this congruence using the inevrse method.

Q: Number theory

A: Assume a=x2

Q: How do I use the Chinese Remainder Thm. to solve this system of congruences?? x ≡ 2 (mod 3) x ≡ 6…

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

A: We will check whether the given system of congruence has solution or not.

Q: The number of mutually incongruent solution(s) of 307x = 83 (mod 360)

A: BY THE DEFINITION OF Modulus congruence Modulus congruence means that both numbers, 16 and 21 for…

Q: Solve 3x≡2, (mod 7) or show that no solution exists.

A: We have to solve given problem:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.