My textbook says this "The solution set in the prior example is parametrized with y and w.

But the prior example solution set had:

{(2-2z+2w, -1 + z - w, z,w) | z,w E R }

The E means element of.

The R is the set of real numbers.

So I was confused by the textbook. Doesn't the book mean the solution set in the "current" example which has:

{(y,y,2-3w,w) | y ,w E R}

To me, the first solution set I post would be parametrized by z and w

The second solution set would be parametrized by y and w.

Am I not correct about those being the right parameters for the solution set?

Yes, looks like a mistake in the book.

Yes, looks like a mistake in the book.

Thanks!