This is non homogeneous equation ...for such type of questions we have to check following 3 cases :
1)if rank(A)<rank(A|B) then AX=B has no solution
2)if rank(A|B)=rank(A)=no of unknowns then AX=B has unique non-zero solution
3)rank(A|B)=rank(A)<no of unknowns then infinite no of solution
here I'm getting rank(A|B)=rank(A)=no of unknowns =3 so only one solution..