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26 March, 22:57

Systems with three variables. solve each system of equation.

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

3x-2y-5z=-2

x-4y-z=-2

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  1. 27 March, 02:17
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    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
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