Suppose that MX=V is a linear system, for some matrix M and some vector V. Let the vector P be a particular solution to the system and the vector H a homogeneous solution to the system. Which of the following vectors must be a particular solution to the system? Select all that apply.

A. 2H-P
B. 2P+2H
C. 3H-P
D. H
E. 2P+H
F. P+3H
G. P
H. P+H
I. P-3H
J. 3P+H
K. 2H-P
L. P+2H
M. 3P+3H
N. P-2H
O. H-P
P. P-H

From what I understand, the general solution = particular+homogeneous.
I found that possible solutions could be P+H, a scalar * P, or a scalar * P + scalar*H. I tried these options and didn't get it right. Any help would be appreciated