Solve the linear congruence 8x = 407 (mod 1405)

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

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

A: The given question is solved below.

Q: Solve linear congruence 45x ≡ 60 (mod 75)

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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: Find all whole number solutions of the congruence equation.  2x+1≡ 5 mod 4 3x+1≡ 4 mod 9

A: The given problem is to find the whole number solutions for given system of linear congruence…

Q: he linear congruence 132x ≡ 76 (mod 100) has a solution. Select one: True False

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Q: Find the common solutions to the congruences 2x 3x 1 (mod 5) (mod 6) 1 (mod 7). 9 4x

A: Given : 2x≡1 (mod 5)3x≡9 (mod 6)4x≡1 (mod 7) To find : The common solutions to the congruences.

Q: Solve the congruence17x−3 = 4 (mod 26).

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Q: а). Solve the linear congruence of 231x = 147 mod 598 .

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Q: Take the last four digits ABCD of your student identification number, and let AB and CD be the…

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

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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: Determine the system of linear congruences which yeild all the square roots of 31 modulo 33.

A: Please find the answer in next step

Q: solve the quadratic congruence 7x^2 - 8x +4 = 0 (mod 17)

A: The given problem is to solve the given quadratic congruence equation 7x2-8x+4 = 0(mod 17)

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

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Q: Solve the linear congruence x3 – 7x² – 48x + 18 = 0 ( mod 54).

A: Please note that, As you have asked Answer number 10 , so I answered only Number (10).

Q: solve the congruence of  6x=4 mod 10  aolve the conguence of 341x=2941 mod 9

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Q: Find the solutions of the congruence 15x2 + 19x ≡ 5 (mod 65)

A: The given equation is: 15x2+19x≡5(mod 65)

Q: 2. Solve the system of congruence 3x +7y = 10 ( mod 16) (5x + 2y = 9(mod 16) .

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Q: Solve the congruence: 341x ≡ 2941 (mod 9).

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Q: Does x2 + 5x congruent to 12 (mod 31) have a solution? (Hint: complete the square)

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Q: Solve the system of congruence x ≡ 3(mod6) and x ≡ 4(mod7) using the method of back substitution.

A: System of congruence equations

Q: Find all whole number solutions of the congruence equation. (2x + 1) ≡ 5 mod 4

A: Consider the given congruence equation. (2x + 1) ≡ 5 mod 4

Q: The linear congruence 9x = 19 (mod27) has 3 incongruent solutions. :Select one True False

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Q: 11. Solve the congruence 4x = 5 (mod 9).

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Q: 2. Solve the system of congruence 3x +7y = 10 ( mod 16) 5x+2y 9( mod 16).

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

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

A: This question is related to Number Theory

Q: he solution of the linear congruence 103x = 444 (mod 999) is ) 111 ) 222 2 333 ) 444

A: We have to find x such that  103x = 444(mod 999)

Q: 2x ≡ 12 mod 5 5x + 4 ≡ 2 mod 8

A: 1) 2x = 12 mod 5  2x = (5*2 + 2) mod 5  2x = 2  x = 1  (1 is whole number)    Only 1 whole number…

Q: Explain why the congruence r2 = 2 (mod 4) has no solutions in Z

A: Result: Square of all integers modulo 4 is either 0 or 1.…

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

A: Given congruence is x2≡9 mod 600

Q: Question 2 Solve the linear congruence 19x =7 (mod 90127)

A: We have to Solve given linear congruence by following way.

Q: Solve the congruence 9x   21 (mod 33).

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Q: Find all whole number solutions of the congruence equation. 3x+12 ≡ 7 mod 10

A: The given congruence equation is                                             3x+12≡7 mod 10

Q: Solve the system of congruence's x = 2 (mod 3), x = 4 (mod 5), x = 1 (mod 7)

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Q: Why does the linear congruence 25x ≡ 30 (mod 75) have no solutions?

A: To show that the linear congruence 25x≡30mod 75 have no solutions.

Q: Find all solutions of quadratic congruence x^2+85x+2=0(mod401)

A: We follow the method of completing the squares of the equation x^2+85x+2. Note that 85 is odd so we…

Q: 3. Find all solutions of the congruence: 19x = 7 mod 69 .Show all steps to get full credits.

A: To find the solution of given linear congruence.

Q: Find all whole number solutions of the congruence equation. 2x+3 ≡ 8 mod 12

A: Given that  2x+3 ≡ 8 mod 12  we have to find the value for 'x'

Q: Solve the system of congruence's by using Chinese Remainder theorem x = 2 (mod 5 ) x = 3 (mod 7) x =…

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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: Solve the linear congruence 5x = 3 (mod. 11). (Show all the work.)

A: The expression, a≡b (mod c)  implies that c divides a-b, that is when c divides a-b the remainder is…

Q: The linear congruences x = 3 (mod 6), x = 9 (mod 15) has simultaneous unique solution modulo. .....…

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Q: Find all whole number solutions of the congruence equation. 4x+6 ≡ 5 mod 8

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Q: 3 congruent to 1 (mod5) 2 congruent to 3 (mod 7) 5 congruent to 11 (mod3)

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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: Find all whole number solutions of the congruence equation. 3x+1≡ 4 mod 9

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Q: Solve the congruences. a) 5x =7 (mod 8) b) 11x 2 (mod 6)

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Q: (b) Solve the set of congruences 2x =1 (mod 5) x=3 (mod 4)

A: Note:- We’ll answer the first question according our protocol. Please submit a new question…