Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.

2x + y - z + 3w = 0

3x - 2y + z - 4w = -24

x + y - z + w = 2

x - y + 2z - 5w = -16