I normally wouldn't have too much trouble with something like this, but my skills regarding it are somewhat rusty.
For what values of does the system of equations
has one, none, or infinitely many solutions? Find all the possible solutions.
Right now, it's mainly that in the third equation that has me a tad confused on how to handle it. This shouldn't be very hard, but, as I said, my memory on this sort of thing is a bit rusty (and muddled by other topics).