solve all parts

Consider the following polyhedron in R7 : 201222021405204223213x=426x0 and the following vectors (a) (0,0,0,0,0,1,1) (b) (1,0,0,2,0,1,0) (c) (1,0,0,0,2,1,0) (d) (0,1,1,0,0,1,0) (e) (1,0,1,0,1,0,0) Which of these vectors are basic solutions? Also, which ones are basic feasible solutions? You need to justify your answers