Linear equation/Integers/Possibilities/1/Exercise

1. Show that the set

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

   is not empty.

2. Show that the set

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

   is empty.

To solution