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)Every solution is a scalar multiple of (-5, 1, 1, 0).
D