Finding subspaces for a nonhomogeneous system 
Show that the solution vectors of a consistent nonhomogeneous system of m linear equations in n unknowns do not form a subspace of $\mathbb{R}^n$.

I'm not really sure how to go about this problem. I know that I'm suppose to check if the vectors are with the subspace by addition and scalar multiplication but I'm not really sure how to set it up. 

There is one (and only one) vector that is in every subspace of $\mathbb{R}^n$.  Is that vector in the solution set?
The statement is also true if the system is inconsistent, because the empty set is not a subspace, for the same reason.
