Answer:
It is.
Explanation:
(x, y, z) => (4, -5, -4)
substitute 4 in x, -5 in y & -4 in z for all the equations in the system.
4x + 2y + z = 2
4(4) + 2(-5) - 4 = 2
2 = 2
5x - 4y - z = 44
5(4) - 4(-5) - (-4) = 44
44 = 44
3x + y + 4z = -9
3(4) + (-5) + 4(-4) = -9
-9 = -9
All equations therefore agree with the ordered triple.