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Vectors

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Could someone help me solve these system using elementary operations, I am having trouble with both of them.

x+y+z =0
x-y =1
y-z =-5
(For the one above the answer is (-1,-2,3)

2x-y =0
2y-z =7
2z-x =0
(For the one above the answer is (2,4,1)

  • Vectors - ,

    first one:

    add all 3 equations --> 2x + y = -4
    now add this to the second ...
    3x = -3
    x = -1

    sub that onto the second and third to get y and z

    "play around" with the second question in a similar way.
    I would use substitution,
    e.g. for the first ---> y = 2x
    from the second z = 2y - 7
    z = 2(2x) - 7
    = 4x - 7

    now in the third
    2z - x = 0
    2(4x-7) - x = 0
    7x = 14
    x = 2
    Now you can find the other two.

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