How To Solve Linear Diophantine Equations

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[@RAG981]

Excellent, lovely demonstration.

[@ShortsOfSyber]

Thanks!

[@johndickinson82]

I’m sure this video could help many people

[@holyshit922]

We can easily guess particular solution
x = 1, y=5, z=12
And now we can solve homogeneous linear equation
3x+2y+5z = 0
and solution will be sum of general solution of homogeneous equation
and particular solution just like it is for linear equations

[@toveirenestrand3547]

k = 11 and m = 1 gives (x, y, z) = (21, 0, 2).
But also (x, y, z) = (21, 5, 0) is a solution which easily is seen from the original equation, and in this case k = 10 and m = - 2.
And so on...

[@satyanaidu3080]

X=11 y=5 z=6

[@william2chao]

韩信点兵。

[@ShortsOfSyber]

他命令了什么？

[@ernestodelprete2469]

烹饪春卷

[@vector8310]

You provide useful strategies but please slow down you speech delivery. You sound as if you're racing to a finish line.