Use the Gauss-Jordan method to solve the system of equations x-y=5, y-z=-3, x+z=4. Select the correct choice below and fill in any answer boxes within your choice.
1) There is one solution. The solution is x = 3, y = 8, z = -1.
2) There is one solution. The solution is x = 4, y = 9, z = -2.
3) There is no solution.
4) There are infinitely many solutions.