The solution space for this system is a subspace of R³ and so must be a line through the origin, a plane through the origin, all of R³, or the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, find parametric equations.
2x 3y + z = 0
8x 12y+42=0
-6x + 9y3z0

A. The solution space is all of R³,
B. The solution space is the origin only.
C. The solution space is the plane 2x-3y +20.
D. The solution space is the line -2t, 3t, z=0.
E. The solution space is the plane 3x + 2yz=0.