Answer
Answers may vary.
Work Step by Step
To write the system, I first need to find three different equations that go through the point provided, (-1,2, -4). To do this, I will start with the equation:
$$x+y=z$$
Then, I will change the coefficients in front of x, y, and z to get equations that will go through the given point.
$$2x-y=z$$
$$-2y = z$$
$$10x-z=-3y$$
$$-2x+y=-z$$
Note, these are just a few options, so you can find numerous other correct answers.