Matrix solution question.

I am supposed to say if the following matrix has no solutions, a unique solution, or infinitely many.

[1 -2 2 -3 0

2 -4 5 -4 0

2 -4 4 -6 0

1 -2 1 -5 0]

I reduced this and got this matrix:

[1 -2 2 -3 0

0 0 1 2 0

0 0 1 2 0

0 0 0 0 0]

The two identical equations would just reduce to one equation so I am left with 4 unkowns and two equations. I know you can describe the solutions parametrically using s & t but is that what I would do in this situation?

Any help would be appreciated. Thank You