Solve the following linear congruence: 36x = 8 (mod 102).

Q: Problem 3. Solve the linear congruence 7x = 13 (mod 19).

A:

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)

A:

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

A:

Q: E. Solve the following congruence equations. 1. x= 2 mod 3 2. 9x = 21 mod 30

A: The solution is given as

Q: Find all solutions for the following pair of simultaneous congruences. 262x = 3 mod 807 3x = 2 mod 5

A: Given: The congruences, 262x≡3 mod 8073x ≡ 2 mod 5 To find: All solutions for the given pair of…

Q: The number of mutually incongruent solution(s) of 306x = 90 (mod 360) 18 2

A:

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

A: We need to solve the linear congruence Let us first find the inverse of 8 mod 1405

Q: x43 = 47 (mod 713)

A: Step:-1 By Chinese remainder Theorem (CRT),  x43 ≡ 47 mod 713 if and only if x43 ≡47 mod 23 ⇒x43 ≡1…

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

A:

Q: D. Determine the number of incongruent solutions of each linear congruence. 6.37x = 1 (mod 249) 7.…

A:

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

A:

Q: solve the following linear congruence : 17x congruence 3 (mod 7)

A: Consider the provided question,

Q: Solve the following linear congruence: 25x = 15 (mod 29).

A:

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

A:

Q: Problem 3. Solve the linear congruence 31x 57 (mod 61).

A:

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 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: D. Determine the number of incongruent solutions of each linear congruence. 1. 22x = 18 (mod 75)…

A: Given linear congruence is  1. 22x≡18mod 752.   2z≡119mod 983.   9x≡95mod 36

Q: Solve the following linear congruence 6x ≡15 (mod 21)

A:

Q: Solve the congruence: 341x + 19 = 291 (mod 9).

A:

Q: 1. Solve the following linear congruences using Diophantine equations: 25x = 7 (mod 17) and 26x = 8…

A: Given information: The Diophantine equations are 25x≡7mod17 and 26x≡8mod6. Calculation: The equation…

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

A:

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

A:

Q: Solve the following linear congruence: 25x = 15 (mod 29). استعراض مركز ملفات المحتوى هاز الكومبيوتر

A:

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

A:

Q: Solve the congruence: 6x ≡ 4 (mod10)

A: The congruence could be written as,

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

A:

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

A: Fermat's theorem :  Let p be prime number such that gcd(a,p)=1 then ap-1≡1(mod p) Using Fermat's…

Q: Find all solutions, if any, to the system of congruences x ≡ 5 (mod 6), x ≡ 3 (mod 10), and x ≡ 8…

A:

Q: ind all solutions of the linear congruence: 9x = 5 mod (14)

A:

Q: 2) Solve the following linear congruences: 14x = 91 (mod 189) 24x = 56 (mod 88)

A:

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 following congruence equations. 1. x=2 mod 3 2. 9x = 21 mod 30 3. 18x = 30 mod 42

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Solve the following linear congruences: (f) 140x = 133 (mod 301). [Hint: gcd(140, 301) = 7.] %3D

A:

Q: Solve the following linear congruence. 36x = 8 (mod 102).

A: On solving ,we get

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

A:

Q: The number of mutually incongruent solution(s) of 306x = 90 (mod 360) 20 30 18 O 6 0

A:

Q: Solve the following linear congruence: 6x = 15 (mod 21).

A: We Know that the congruence ax = b (mod n) has a solution if and only if d = (a, n) divides b. If…

Q: . Find a solution x € Z, 0 <x <n, for the congruence 57x + 7 = 78 (mod 53).

A:

Q: Solve the following congruences. a) 5x = 1 (mod 13) b) 12x = 40 (mod 88)

A: Given: To explain the given statement as follows, We need to solve the following congruences  5(x) =…

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: Which of the following is a solution of congruence equation, 4x –7 =3 (mod 10)?

A: We will find out the required solution.

Q: Exercise 32 Solve the following equations: 1. 3x = 5 (mod 7).

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: solve the following congruence equation:3x+58 ≡1(mod 12)

A: If ab≡bc(mod nb) then a≡c(mod n) And if ab≡bc(mod n) and if (b,n)=1 then a≡c(mod n)