Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.

2w + x - y = 3 w - 3x + 2y = -4 3w + x - 3y + z = 1 w + 2x - 4y - z = -2

• A. {(1, 3, 2, 1)}
• B. {(1, 4, 3, -1)}
• C. {(1, 5, 1, 1)}
• D. {(-1, 2, -2, 1)}