Take the last four digits ABCD of your student identification number, and let AB and CD be the corresponding two-digit numbers obtained. Solve the simultaneous congruence system x ≡ AB mod 101 and x ≡ CD mod 107. Last 4 digits of student ID: 4433

Q: What is the number of solutions to the congruence in Z125? x³ + x² + 3 = 0 (mod 125)

A: As per the question we have to solve the following polynomial congruence equation : x3 + x2 + 3 ≡ 0…

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

A: The given question is solved below.

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

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Q: Find all solutions of the congruence x2 ≡ 29 (mod 35).

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Q: solve this cryptarithm using the digits 0 through 9 where each letter represents a digit and no…

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

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Q: For which integers c, 0<c < 30, does the congruence 12x == c (mod 30) have solutions? When there are…

A: Given congruence is 12x≡c(mod 30). We know that ax ≡b(mod m) have solutions when gcd(a,m) divides b.…

Q: Find the four solutions of x* = 1 (mod 13).

A: Since you have asked multiple questions we will solve the first question for you .To get any…

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 .

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Q: Solve the linear congruence 10x ≡ 15 (mod 45).

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

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

A: Linear congruence

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

A:

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: The equation 21x=49 (mod 70) has: 6 non-congruent solutions modulo 70 7 non-congruent solutions…

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

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

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

A: The linear congruence ax ≅b(mod m) has a solution iff d|b where d=(a, m)

Q: he linear congruence 132x = 76 (mod 100) has a solution. elect one: D True D False

A: I will use the property of linear congruence relation.

Q: Find all incongruent solutions - if exist - for the congruence: 36x = 96 mod 156

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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: Write the set of solutions of x=5 (mod 24) x= 17 (mod 18), if any as the solutions to a single…

A: We have a set of congruence as x ≡ 5 (mod 24)x ≡ 17 (mod 18) From the first equation we can write…

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

A:

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: b) Determine whether or not x? = 85 (mod 97) has a solution.

A:

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

A:

Q: Determine whether the following systems have unique solution, infinitely many solutions or no…

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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: For the congruence 17x ≡ 9 (mod 276), write down an equivalent system of congruences. Hence solve…

A: We have to Write down an equivalent system of congruences and Hence solve the congruence 17x ≡ 9…

Q: Find all solutions, if any, to the system of congruences x ≡ 7 (mod 9), x ≡ 4 (mod 12), and x ≡ 16…

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

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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: 1. x=2 mod 3 2. 9x = 21 mod 30

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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

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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 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).

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

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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: Number theory

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Q: olve the following congruences (4 pts.) 10x≡4 mod 26 3x≡18mod21 12x≡4mod 97

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Q: 4. Solve the congruence 34.x = 77 (mod 89).

A: in first process firstly we need to find the inverse to solve this type of question

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

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Q: Solve the system of congruence x ≡ 3 (mod 6) and x ≡ 4 (mod 7) using the method of back…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.