Matematika

Pertanyaan

2x+3y+z=17
2x-y-z=-1
z=-1

1 Jawaban

  • 2x + 3y + z = 17 .....1
    2x -y -z = -1 .....2
    z= -1 .....3
    Subtisusi z = -1 kepersamaan 2
    2x -y -(-1) = -1
    2x - y + 1 = -1
    2x -y = -1 -1
    2x - y = -2
    y = 2x + 2 ... 4
    Substitusi persamaan 3 dan 4 ke persamaan 1
    2x + 3(2x +2) - 1 = 17
    2x + 6x + 6 - 1 = 17
    8x + 5 = 17
    8x = 17 - 5
    8x = 12
    x = 12 / 8
    x = 3/2
    Jadi nilai x = 3/2
    substisuti x = 3/2 ke persamaan 4
    y = 2x + 2
    y = 2 (3/2) + 2
    = 3 + 2
    = 5
    Jadi nilai y = 5
    Jadi diporeleh nilai x = 3/2, y = 5 dan z = -1

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