Matematika

Pertanyaan

Metode eliminasi
4x-3y-15=0 dan 6x+9y+ 9=0

1 Jawaban

  • ≡ penyelesaian :

    ⇔4x - 3y - 15 = 0
    ⇔4x - 3y = 15

    ⇔6x + 9y + 9 = 0
    ⇔6x + 9y = -9

    ⇔gunakan metode eliminasi.

    ⇒4x - 3y = 15 |×6|
    ⇒6x + 9y = -9 |×4|

    ⇒24x - 18y = 90
    ⇒24x + 36y = -36
    --------------------------- +
    ⇒18y = 54
    ⇒y = 54 / 18
    ⇒y = 3

    ⇔kemudian, gunakan metode substitusi.

    ⇒4x - 3y = 15
    ⇒4x - 3(3) = 15
    ⇒4x - 9 = 15
    ⇒4x = 15 + 9
    ⇒4x = 24
    ⇒x = 24 / 4
    ⇒x = 6

    Maka ,
    HP = { x , y } { 6 , 3 }

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