The question is attached.

The main thing of the question is for me to understand the concept.

So to find the values of (x,y,z) I would have to find the inverse of the inverse matrix. I think I'm supposed to use the supermatrix method or the co-factor method? But how would I go about doing that?

If I use the supermatrix method, there's no way I can reduct the second row to [0 1 0]. The co-factor method would just give me lots of unknowns...