Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.

Question

A. consistent; x1 = 6 + x4, x2 = -4 + 6x4, x3 = -7x4, x4 any real number 
or {(x, y, z)|x1 = 6 + x4, x2 = -4 + 6x4, x3 = -7x4, x4 any real number}
B. consistent; x1 = 6 - x4, x2 = -4 - 6x4, x3 = 7x4, x4 any real number 
or {(x, y, z)|x1 = 6 - x4, x2 = -4 - 6x4, x3 = 7x4, x4 any real number}
C. consistent; x1 = 6, x2 = -7, x3 = -6, x4 = -7; (6, -7, -6, -7)
D. inconsistent

Answer 1

Answer: B