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10 April, 01:28

X + y + z = 12

6x - 2y - z = 16

3x + 4y + 2z = 28

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Answers (1)
  1. 10 April, 03:51
    0
    x = 4

    y = 0

    z = 8

    Step-by-step explanation:

    Step 1: Multiply first equation by - 6 and add the result to the second equation. The result is:

    x3 x+y - 8y + 4y + z - 7z + 2z = 12 = - 56 = 28

    Step 2: Multiply first equation by - 3 and add the result to the third equation. The result is:

    x + y - 8 y + y + z - 7 z - z = 12 = - 56 = - 8

    Step 3: Swap Row 2 and Row 3. After this step we have:

    x + y + y - 8 y + z - z - 7 z = 12 = - 8 = - 56

    Step 4: Multiply second equation by 8 and add the result to the third equation. The result is:

    x + y + y + z - z - 15 z = 12 = - 8 = - 120

    Step 5: solve for z.

    -15 zz=-120=8

    Step 6: solve for y.

    y-zy-8=-8y=-8=0

    Step 7: solve for x by substituting y=0 and z=8 into the first equation
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