In this paper we prove that if AX=b is a partial sign-solvable linear system with A being sign non-singular matrix and if

, then

is a sign-solvable linear system, where

denotes the submatrix of A occupying rows and columns in o and xo and be are subvectors of x and b whose components lie in

. For a sign non-singular matrix A, let

be the fully indecomposable components of A and let

denote the set of row numbers of

. We also show that if

is a partial sign-solvable linear system, then, for

, if one of the components of xor is a fixed zero solution of Ax=b, then so are all the components of

.