Question

Determine if the given ordered triple is a solution of the system.

(4, -5, -4)
4x + 2y + z = 2
5x - 4y - z = 44
3x + y + 4z = -9

Answer 1

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.