What is it about?

For equations like 3003x+4389y+5187z+8151u+19019v=302870 it is demonstrateed how to find a solution x=10, y=45, z=3, u=5, v=1 and 33 others, but no more, or to verify that 858x+910y+1155z=14125 has no natural solutions. Number of natural solutions of simple equation Ax+Dy=T presented in explicit form.

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Perspectives

Examples of use are shown in the paper

Dr Mikhail M Mestechkin
retired AC SCI USSR

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This page is a summary of: Natural solutions of Diophantine linear equation with n unknowns, Journal of Computational Methods in Sciences and Engineering, March 2016, IOS Press,
DOI: 10.3233/jcm-150591.
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