Which classification best describes the following system of equations? 3x+6y-12z=36, x+2y-4z=12, 4x+8-16z=48

(1) 3x+6y-12z=36

(2) x+2y-4z=12

(3) 4x+8y-16z=48

The first equation (1) is the second equation (2) multiplied by 3:

(2) x+2y-4z=12→3 (x+2y-4z=12) →3x+6y-12z=36 (1)

The third equation (3) is the second equation (2) multiplied by 4:

(2) x+2y-4z=12→4 (x+2y-4z=12) →4x+8y-16z=48 (3)

The equations are linearly dependent, Then the system of equations is dependent, and then consistent too.