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Algebra

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Use the elimination method to solve the following system of equations.

x + 3y – z = 2
x – 2y + 3z = 7
x + 2y – 5z = –21

  • Algebra - ,

    x + 3y – z = 2
    x – 2y + 3z = 7
    ------------------
    0x +5y -4z = -5

    x – 2y + 3z = 7
    x + 2y – 5z = –21
    -----------------
    0x -4y + 8z = 28 or -2y+4z=14

    then

    +5y -4z = -5
    -2y +4z = 14
    ----------------
    3 y +0z = 9

    y = 3
    now go back up and get x and z

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