Solve the system of linear equations. (enter your answers as a comma-separated list. if there is no solution, enter no solution. if the system has an infinite number of solutions, set w = t and solve for x, y, and z in terms of t.)
x + y + z + w = 6
2x + 3y − w = 0
−3x + 4y + z + 2w = 4
x + 2y − z + w = 0
find (x, y, z, w).