16. Solve the following linear Diophantine equation, using modular arithmetic (describe the general solutions). 17x + 8y = 31.

Q: Sheet No.2 solve the folloing : use properit 1) e 2 2) c-1 (s – 3)5 3) e- : 7s s2+4

A: As per our guidelines I am solving only first three parts of the sheet please resubmit other parts.

Q: Find all integer solutions to the Diophantine equation 22r + 28y = 6

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A: True or False

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A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

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A: We have to solve  dy/dx=(y-1)/(x+3),.  y(-1)=0.

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A: Given: Let a,b,c are integer powers of 2 .

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A:

Q: 15.-Solve the following problem.   PV=$19,155​; n=96​; i=0.03​; PMT=?​;   PMT=$ ​(Round to two…

A: Given: PV=$19,155​ n=96​ i=0.03​ PMT=?​

Q: 15. Find the length of CD. 5х — 4 2x + 11 Solve for the missing variable in the following problems:…

A:

Q: 5√3a7 +11√/27a7

A: Given,            53a7+1127a7

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Q: Find all integer solutions x and y of the Linear Diophantine Equation 13x + 26y = 7. If no solution…

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Q: 19) 41° C 5.3

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Q: 9. Solve the following Diophantine equation. 25x + 13y = 2 elot

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Q: If AC = x + 11, and AB = 23 solve for x. %3D

A: Given that     AC= x+11  and AB= 23 We have to find the value of x.

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Q: Date Max P=4xナ2y Jukject t0 2×ナ47 3x+ <12 443 Solve the tollewing LR prople .

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Q: 22ydy

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A: This is a problem of Number tHeory, discrete math.

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Q: What is the solution to the equation? 11n (7 + 26) = In (x² – 16) – In (z + 4) -

A: Given that: 12ln(x+26)=ln(x2-16)-ln(x+4)

Q: 11. If AB = 8z + 5, CB = 10z – 1, and BD 1 AC, solve for z.

A: Given, AB=8x+5, CB=10x-1

Q: The Diophantine equations 14x + 35y = 91 cannot be solved

A: Given that  14x+35y=91

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A: Given (I-3AT)-1=-20123

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A: See the attachment

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A: Note: Multiple questions are given we are answered with first three parts only.

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Q: Solve the following equation 4. In w +6 = 12

A: Given equation is : lnw+6=12 To find the value of w.

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

A: The quadratic equation is given as ax2+bx+c=0 Its roots are given by x = -b±b2-4ac2a Hence its roots…

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Q: For which values of a does ax = 1 have a solution inZ6?

A: Z5=0,1,2,3,4,5ax=1If a=0, then 0x=1⇒ No solution.If a=1, then 1x=1⇒One solution,x=1

Q: If one of the roots of ax^2 + bx + c is 2/3 + 5/9i where a, b and c are integers, what is the value…

A: Explanation of the answer is as follows

Q: following

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Q: Give all the integer solutions of the diophantine equation 112x+46y=6

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