Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.
A. consistent; x1 = 8, x2 = -7, x3 = -3, x4 = -7; (8, -7, -3, -7)
B. consistent; x1 = 3 + x4, x2 = -5 + 8x4, x3 = -7x4, x4 any real number
or {(x, y, z)|x1 = 3 + x4, x2 = -5 + 8x4, x3 = -7x4, x4 any real number}
C. consistent; x1 = 3 - x4, x2 = -5 - 8x4, x3 = 7x4, x4 any real number
or {(x, y, z)|x1 = 3 - x4, x2 = -5 - 8x4, x3 = 7x4, x4 any real number}
D. inconsistent
Answer: C
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