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25 December, 03:39

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

2x - y + z = - 3

2x + 2y + 3z = 2

3x - 3y - z = - 4

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Answers (1)
  1. 25 December, 06:55
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    The answer

    2x - y + z = - 3 (1)

    2x + 2y + 3z = 2 (2)

    3x - 3y - z = - 4 (3)

    (1) - (2) 3y + 2z = 5

    3. (1) - 2. (2) 3y+5z = - 1

    let 's solve

    3y + 2z = 5

    3y+5z = - 1

    z = - 2, and 3y = 5+4=9, y=3, so 2x - 3 - 2 = - 3 implies x = 1

    finally x=1, y=3 and z = - 2

    proof

    2x - y + z = - 3? 2.1 - 3 - 2 = - 3 (true)
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