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Consider the system of linear equations

w+3x+2y+2z = 0

w+4x+y = 0

3w+5x+10y+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 has infinitely many solutions.

(B) The sum of any two solutions is a solution.

(C) ( -5, 1, 1, 0 ) is a solution.

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