Linear equation/Integers/Possibilities/1/Exercise

1. Show that the set

   ${\left\{(x,y)\in \mathbb {Z} ^{2}\mid 3x+5y=1\right\}}$

   is not empty.

2. Show that the set

   ${\left\{(x,y)\in \mathbb {Z} ^{2}\mid 6x+9y=5\right\}}$

   is empty.

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