Posted by jannette on Sunday, February 27, 2011 at 11:32pm.
The determinant of the left-hand side is
|7 2 |
|2 -7|
=-49-4
=-53
which is non-zero. This implies that the system is not dependent.
So apart from the trivial solution of x=0 and y=0, there is no non-trivial solution.