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8 February, 05:57

What is the solution to the system of equations? - 7x-2y+z=-2

6x-y-z=-18

5x+4y-z=18

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Answers (1)
  1. 8 February, 08:01
    0
    x = - 1, y = 7, z = 5.

    Step-by-step explanation:

    -7x - 2y + z = - 2 ... (1)

    6x - y - z = - 18 ... (2)

    5x + 4y - z = 18 ... (3)

    Subtract equations (2) - (3):

    x - 5y = - 36 ... (4)

    Add equations (1) and (2):

    -x - 3y = - 20 ... (5)

    Adding (4) and (5):

    -8y = - 56

    y = 7.

    Substitute y = 7 into equation 4:

    x - 5 (7) = - 36

    x - 35 = - 36

    x = - 1.

    Substitute x = - 1 and y = 7 in equation (1):

    -7 (-1) - 2 (7) + z = - 2

    7 - 14 + z = - 2

    z = - 2 - 7 + 14

    z = 5.
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