Systems with three variables. solve each system of equation.

-4x-6y+4z=-14

3x-2y-5z=-2

x-4y-z=-2

1) - 4x - 6y + 4z = - 14

x : - 4x + 4z = - 14 + 6y

- 4x = - 14 + 6y - 4z Divide both sides by - 4

x = - 3/2 y + z + 7/2

y : - 4x - 6y + 4z = - 14

-6y + 4z = - 14 + 4x

-6y = - 14 + 4x - 4z

y = - 2/3 x + 2/3 z + 7/3

z : - 4x - 6y + 4z = - 14

-6y + 4z = - 14 + 4z

4z = - 14 + 4z + 6y

z = x + 3/2 y + - 7/2

2) 3x-2y-5z=-2

x : 3x-2y-5z=-2

3x - 2y = - 2 + 5z

3x = - 2 + 5z + 2y

x = - 2/3 + 5/3z + 2/3 y

y : 3x-2y-5z=-2

-2y - 5z = - 2 - 3x

-2y = - 2 - 3x + 5z

y = 1 + 3/2 x + - 5/2z

z : 3x-2y-5z=-2

-2y - 5z = - 2 - 3x

-5z = - 2 - 3x - 2y

z = 3/5x + - 2/5y + 2/5

3) x - 4y - z=-2

x : x - 4y - z=-2

x - z = - 2 + 4y

x = - 2 + 4y + z

y : x - 4y - z=-2

-4y - z = - 2 - x

-4y = - 2 - x + z

y = 1/4 x + 1/2 + - 1/4 z

z : x - 4y - z=-2

-4y - z = - 2 - x

-z = - 2 - x + 4y

z = 2 + x - 4y