Matematika

Pertanyaan

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

1 Jawaban

  • Eliminasi

    2x + 3y - z = 7
    2x + y + 4z = 5
    ---------------------- (-)
    2y + 5z = 2

    2x + 3y - z = 7....×3
    3x - y + 2z = 5....×2

    6x + 9y - 3z = 21
    6x - 2y + 4z = 10
    ------------------------ (-)
    11y + 7z = 11

    2y + 5z = 2....×7
    11y + 7z = 11....×5

    14y + 35z = 14
    55y + 35z = 55
    ----------------------- (-)
    -41y = -41
    y = -41/-41
    y = 1

    11y + 7z = 11
    11(1) + 7z = 11
    7z = 11 - 11
    7z = 0
    z = 0/7
    z = 0

    2x + y + 4z = 5
    2x + 1 + 4(0) = 5
    2x = 5 -1
    2x = 4
    x = 4/2
    x = 2

    HP = {2,1,0}

    Jadi nilai dari x, y, dan z adalah 2, 1 , dan 0

    Semoga membantu :)
    JANGAN LUPA KASIH 5 BINTANG

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