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

Q: (a) Solve the linear congruence 26x = 1 modulo 33

A: Solution

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: x^2 ≡ 1 (mod 105)

A: Given: x2≡1(mod 105) To Solve: The given congruence  x2≡1(mod 105)

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

A:

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

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

A:

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

A:

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

A:

Q: 7) Solve the system of linear congruences below: x = 2 (mod 7) x = 10 (mod 15) x = 9 (mod 26)

A:

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

A: Consider the provided question,

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

A:

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

A:

Q: 5. Explain why the congruence r = 2 (mod 4) has no solutions in Z.

A: We have to show that the congruence x2≡2(mod 4) has no solution in ℤ

Q: 8. Solve the linear congruence, 30k + 14 = 5(mod 11).

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

A: System of congruence equations

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: 4.2 Linear Congruences 161 6. For which integers c, 0 sc< 30, does the congruence 12x =c (mod 30)…

A: Q6 asked and answered.

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: X=1 (mod 81) and X = 7 (mod 12), as the solutions to a single congruence.

A: It is given that X=1mod81 and X=7(mod12) Here a1=1,a2=7,n1=81,n2=12 Therefore:…

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

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

Q: 1. Solve the following linear congruences: (a) 25x = 15 (mod 29). (b) 5x = 2 (mod 26). © 6x = 15…

A: As per our guidelines we can answer only three subparts and rest can be reposted.  So, I am going to…

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

A: On solving ,we get

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

A:

Q: Solve the system of congruences 2x + 6y = 3 (mod 15) 3x + 7y = 6 (mod 15)

A:

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: Number of solutions for the congruence equation x^2 + 2x + 1 = 0(mod 52) is

A: The given congruence equation is x2+2x+1 = 0(mod 52)

Q: Solve the linear congruence 74x ≡ 7 (mod 69).

A: 74x ≡ 7  (mod 69).

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

A:

Q: ulus) 1) Solve the following congruences system. 5x +4 = 12 (Mod 7) 14x - 3 = 19 (Mod 5) 2) Prove…

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 equation 12x=24 (mod 48) has:

A: ANSWER IS 12 NON  CONGRUENT SOLUTIONS MODULO 48

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

A:

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: Find all solutions, to the system of congruences x ≡ 8 (mod 15), x ≡ 5 (mod 6) and x ≡ 3 (mod 10) if…

A: We will find out the required solution for given system of congruences.

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

A:

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.