Linear Diophantine Equation/Examples/15x + 27y = 1

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Example of Linear Diophantine Equation

The linear diophantine equation:

$15 x + 27 y = 1$

has no solutions for $x$ and $y$ integers.


We have that:

$\gcd \set {15, 27} = 3$

which is not a divisor of $1$.

So, from Solution of Linear Diophantine Equation, no solution exists.