Consider the system of linear equations w + 3x + 2y + 2z = 0 w + 4x + y = 0

Consider the system of linear equations
w + 3x + 2y + 2z = 0
w + 4x + y = 0
3w + 5x + 10 y + 14z = 0
2w + 5x + 5y + 6z = 0

with solutions of the form (w, x, y, z), where w, x, y, and z are real. Which of the following statements is FALSE?
(A) The system is consistent.
(B) The system has infinitely many solutions.
(C) The sum of any two solutions is a solution.
(D) (-5, 1, 1, 0) is a solution.
(E) Every solution is a scalar multiple of (-5, 1, 1, 0).

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