Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.
A. consistent; x = 6 + 2z, y = -4 - 4z, z any real number
or {(x, y, z)|x = 6 + 2z, y = -4 - 4z, z any real number}
B. consistent; x = 6, y = -4, z = -2; (6, -4, -2)
C. consistent; x = 6 - 2z, y = -4 + 4z, z any real number
or {(x, y, z)|x = 6 - 2z, y = -4 + 4z, z any real number}
D. inconsistent
Answer: A
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