Write all conditions that a feasible direction

w must satisfy at any interior point solution to each of the following standard-form systems of LP constraints.

(a) 2w1 + 3w2 - 3w3 = 5 4w1 - 1w2 + 1w3 = 3 w1, w2, w3 Ú 0

(b) 11w1 + 2w2 - 1w3 = 8 2w1 - 7w2 + 4w3 = -7 w1, w2, w3 Ú 0