For which values ofk are there no solutions, many solutions, or a unique solution to this

system?

x− y = 1

3x − 3y = k

This is what i did

1 -1 | 1

3 -3 | k

Line 2 - (3 x line 1)

1 -1 | 1

0 0 |k-3

So k = 3 there are inifinte solutions

And when k doesnt = 3 there are no solutions

But what about one solution? Is there one?