Matematika

Pertanyaan

jika x dan y adalah penyelesaian dari sistem persamaan 2x + 7y = 11 dan 5x + 3y = 13. nilai x + y =...

2 Jawaban

  • 2x + 7y = 11   (x5)
    5x + 3y = 13   (x2)
    -------------------------
    10x + 35y = 55
    10x + 6y = 26
    ------------------------ -
    29y = 29
    y = 1

    2x + 7y = 11
    2x + 7(1) = 11
    2x + 7 = 11
    2x = 11 - 7
    2x = 4
    x = 2

    maka
    x + y = 2 + 1 = 3
  • • Cari nilai y

    2x + 7y = 11 ...×5
    5x + 3y = 13 ... ×2
    —————————
    10x + 35y = 55
    10x + 6y = 26
    ———————— —
    29y = 29
    y = 29/29 = 1

    • Cari nilai x

    2x + 7y = 11
    2x +7(1) = 11
    2x + 7 = 11
    2x = 11 - 7
    2x = 4
    x = 4/2 = 2

    • Cari nilai x+y

    x = 2
    y = 1

    Maka, x + y = 2 + 1 = 3 ⬅ jawaban

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