3. (40 points) Use the Gaussian elimination method to find the solution(s) of the following systems, if a solution exists. If the system has more than one solution, give two particular examples.
(a) x + 3y + 4z = 3, x + 4y + 6z = 5, -x - 3y - z = 0.
(b) α + β + γ = 1, 3α + 2β = 4, 2α - γ = 3, 2α + 3β + 2γ = -1.