The "associated homogeneous system" is x- y- 2z+ 3w= 0, 3x+ 2y- z+ 2s= 0, 0x- y- 7z+ 9w= 0.Ifthose three equations are independent, then the only solution is x= y= z= w= 0. If they are not independent, then there exist an infinite number of solutions and the "general solution" is would be x, y, z, and w as functions of some parameter. Can you find the general solution to that?