The equation 82x = 12 (mod 13) has O 1 incongruent solution modulo 12 O 4 incongruent solutions modulo 12 O 6 incongruent solutions modulo 12 O None of the choices

Q: Find all solutions to 17r = 14 (mod 21).

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

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Q: Find the solution to 34x = 77(mod 89) that is positive and less than 89.

A: given that                                          34x≡77 (mod 89) we have to find positive…

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

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

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Q: What are the FOUR values of x that will satisfy: x ≡ 4 mod 5 & x ≡ 3 mod 7 please show your…

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Q: x is congruent to 43 mod 12. Then x is

A: x is congruent to 43 mod 12 implies x congruent 7 (mod 12). So, solution in the least residue system…

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

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Q: x is congruent to 27 mod 7. Then x is 54 55 None of the option 46

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Q: (i)Find the inverse of 5(mod9)     (  ii)Hence or otherwise solve simaltaneous equation…

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Q: Furthermore, any two solutions x and y are congruent modulo n¡n2 · Solve the following systems of…

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

Q: (1) Consider the equation 2.x +1 = 0 mod n. For which n are there no solutions? one solution?…

A: Congruence

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: The least positive integer solution for the congruence 2x = 14 (mod 18) is Answer:

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Q: 1. Solve each of the folling. а. с. d. 115x = 2 (mod 288) 2. Explain why 12x = 1 (mod 75) has no…

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Q: Where would 129 be on a mod 13 clock (which goes from 0 to 12)? What is the remainder…

A: Where  would  129  be  on  a  mod  13  clock  (which  goes  from 0 to 12)? What is the remainder…

Q: Consider 64z 16 mod 196. The number of solutions mod 196 is Oa None Ob 3 Oe 1

A: We find the number of solutions incongruent mod 196

Q: The equation 6** = 9 (mod 13) has 1 incongruent solution modulo 12 3 incongruent solutions modulo 12…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Calculate the inverse of 15 mod 26 (i.e., solve 15 * x ≡ 1  (mod 26))

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Q: (3) If today is Thursday what day of the week will it be 31 days from today? (4) If it is currently…

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Q: Solve each equation for x.  5x ≡ 2, (mod 7), x, (mod 7) 7x + 1 ≡ 4, (mod 11), x, (mod 11)

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Q: 2x = 4 (mod 8) a. has no solution b. has infinite solutions c. has a unique solution modulo 8 which…

A: Here 2x≡4 (mod 8). Hence 2x=4+8k, for some integer k. Dividing by 2, x=2+4k, for some integer k.…

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 equation 5x = 13 (mod 18)

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

Q: i need to find the value of m 12 = (m*28)mod 113

A: Solution is given by using Diophantine equation and extended Euclidean algorithm as follows

Q: The equation 21x=49 (mod 70) has: * O None of these O no solution modulo 70 6 non-congruent…

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Q: The remainder when aa is divided by 77 is 22 and the remainder when bb is divided by 77 is 55. (So a…

A: Given:          a≡2 mod(7)  and b≡5 mod(7)

Q: Find the value of x if any. Show your complete solution. 1.   (13 + x) = 3 mod 16 x = 2.   (3x +…

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Q: 6), then the congruence has a unique solution modulo p. 11. Show that the congruence x³ = 3 (mod 19)…

A: 11. To prove that the congruence x3≡3 mod 19 has no solutions, whereas x2≡11(mod 19) has three…

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: The equation 12x=24 (mod 48) has: * no solution modulo 48 24 non-congruent solutions modulo 48 None…

A: Given the equation 12x≡24(mod 48)

Q: Suppose b is any integer. If b mod 12 = 7, what is 5b mod 12? In other words, if division of b by 12…

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

A: The given equation is 82x = 12(mod 13)

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: 3

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Q: A sequence of pseudorandom numbers is generated as follows Xo = 4 x₁ = ( 6x₁-1 + 5 ) mod 13 if i > 0…

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Q: In the congruence equation 3x + 12 = mod 10, which of the following is FALSE O a. 5, 15, 25, 35,..…

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

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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: 3x is congruent to 2 mod 13

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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: Which is the solution of 71x congruent to 5 mod 142. 38 57 85 None of the above

A: To determine which of the given is the solution of 71x≡5mod142.

Q: The equation 30x≡24 (mod 48) has: * 24 non-congruent solutions modulo 48 no solution modulo 48 None…

A: ax≡b (mod m) has solutions if and only if gcd(a,m) divides b. Moreover the number of non-congruent…

Q: The equation 21x = 49 (mod 77) has: O no solution modulo 77 only 11 non-congruent solutions modulo…

A: Here we have given equation,  21x = 49 (mod 77)    Let a, b and m be integers such that m>0 and…

Q: The equation 21x = 49 (mod 77) has: O no solution modulo 77 only 7 non-congruent solutions modulo 77…

A: Solution

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

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Q: The equation 12x=24 (mod 48) has: O 24 non-congruent solutions modulo 48 6 non-congruent solutions…

A: To find- The number of solutions for the given equation.

Q: c. Find all non-congruent solutions to x? = 1 (mod 15) d. Find all non-congruent solutions to x2 = 4…

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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: Determine four values of x that will satisfy: x ≡ 4 mod 5 & x ≡ 3 mod 7 please show your solution

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