Matematika

Pertanyaan

3x+4y =10 2x+9y =8 tentukan nilai x dan y

2 Jawaban

  • 3x+4y =10 ......(x2)
    2x+9y =8.........(x3)

    6x+8y=20
    6x+27y=24
    ----------------  -
    -19y = -4
    y = 4/19

    y=4/19 disubstitusikan ke 3x+4y=10
    3x+4(4/19)=10
    3x+16/19=10
    3x = 10 - 16/19
    3x = 190/19 - 16/19
    3x = 174/19
    x = 174/19/3
    x = 174/19 x 1/3
    x =174/57
    x = 3 3/57
    x = 3 1/19
  • 3x + 4y = 10 (× 9)
    2x + 9y = 8 (× 4)

    27x + 36y = 90
    ..8x + 36y = 32
    ----------------------- -
    19x = 58
    x = 58/19

    2x + 9y = 8
    2(58/19) + 9y = 8
    116/19 + 9y = 8
    9y = 8 - 116/19
    9y = 152/19 - 116/19
    9y = 36/19
    y = (36/19)/9
    y = (36/19) × (1/9)
    y = 4/19

    Jadi HPnya adalah {58/19 , 4/19}

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