Given that the equations below all hold for x, y, z, t and w, determine which of the following options is true:

x + y + z + t + w = 1 x + y +2z + 2t + 2w = 1 x + 2y + 3z + 4t + 5w = 2 x + y + 3z +2t + w = 3

(a) x must be equal to –2 (minus 2).

(b) z must be either 0 or negative.

(c) y must be negative.

(d) None of x, y, z, t or w can be uniquely determined.