Solve the following system of equations. Record your answer as an ordered triple. Don't forget to include the parentheses in your answer.

x - 4y + 3z = - 2

2x - y + 4z = - 22

3x - 3y + 4z = - 17

X=-3, y=-4, z=-5

Step-by-step explanation:

X-4y+3z=-2 ... (1)

2x-y+4z=-22 ... (2)

3x-3y+4z=-17 ... (3)

-2 (1) + (2) and - 3 (1) + (3) we get:

7y-2z=-18 ... (4)

9y-5z=-11 ... (5)

Now 5 (4) - 2 (5) we get:

17y=-68 so

y=-4

Put y=-4 in (4) we have:

-28-2z=-18, then 2z=-10, so we have:

z=-5

Now put y=-4 and z=-5 in (1) we get:

x+16-15=-2, then

X=-3