Question

Determine if the given system is consistent. Do not completely solve the system. 2x_1 + 4x_3...

Determine if the given system is consistent. Do not completely solve the system.

2x_1 + 4x_3 = 8
x_2 - 2x_4 = 2
-5x_2 + 4x_3 + 2x_4 = 2
4x_1 + 6x_4 = -2

Choose the correct answer below.
A.
The system is consistent because the augmented matrix of the system cannot be reduced to triangular form.
B.
The system is consistent because the augmented matrix of the system can be reduced to triangular form.
C.
The system is inconsistent because the augmented matrix of the system cannot be reduced to triangular form.
D.
The system is inconsistent because the augmented matrix of the system can be reduced to triangular form.

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