List questions from linear-diophantine-equations

Published on 22 Jul 2015 - 21:33

26

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Unique solution to $T=a_1b_1 + a_2b_2 ... a_{10}b_{10}$ for some set of $a_i$?

Published on 09 Aug 2015 - 19:00

785

Views

Prove that there are no integer solutions x,y to the following system of equations using mod 4 arithmetic:

Published on 19 Aug 2015 - 14:57

165

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Find whole numbers $x$ and $y$ such that $61=9x+15y$

Published on 24 Aug 2015 - 7:56

61

Views

Linear diophantic equation

Published on 29 Aug 2015 - 19:01

191

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Find all the solutions of $6a+9b+20c=-2$

Published on 10 Sep 2015 - 16:39

61

Views

Normal to a set of integer vectors

Published on 15 Sep 2015 - 15:55

517

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Linear Diophantine Equations - particular solutions

Published on 16 Sep 2015 - 18:16

3.5k

Views

Determining the existence of solutions to the linear Diophantine equation $ax + by = c$

Published on 08 Oct 2015 - 15:51

63

Views

How many solutions does $x(1 - 1000m) + y (10 - 100m) + z (100-10m) + w(1000-m) = 0$ restricted to some constraints

Published on 09 Oct 2015 - 18:36

258

Views

Finding all solutions to $32x + 5y= 1$.

Published on 19 Mar 2026 - 3:14

1.2k

Views

Solve in integers the equation $2x+3y = 5$

Published on 31 Oct 2015 - 19:21

378

Views

How to solve system of linear congruences without using inverse integers?

Published on 06 Mar 2026 - 14:01

1.1k

Views

Positive solutions extended euclid algorithm

Published on 24 Mar 2026 - 15:24

207

Views

How to show a certain integer solution does not exist for a system of linear equations?

Published on 23 Feb 2026 - 5:36

List Question

The number of positive integral solutions to the system of equations.

Unique solution to $T=a_1b_1 + a_2b_2 ... a_{10}b_{10}$ for some set of $a_i$?

Prove that there are no integer solutions x,y to the following system of equations using mod 4 arithmetic:

Find whole numbers $x$ and $y$ such that $61=9x+15y$

Linear diophantic equation

Find all the solutions of $6a+9b+20c=-2$

Normal to a set of integer vectors

Linear Diophantine Equations - particular solutions

Determining the existence of solutions to the linear Diophantine equation $ax + by = c$

How many solutions does $x(1 - 1000m) + y (10 - 100m) + z (100-10m) + w(1000-m) = 0$ restricted to some constraints

Finding all solutions to $32x + 5y= 1$.

Solve in integers the equation $2x+3y = 5$

How to solve system of linear congruences without using inverse integers?

Positive solutions extended euclid algorithm

How to show a certain integer solution does not exist for a system of linear equations?

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