Matematika

Pertanyaan

Jika X dan Y memenuhi sistem persamaan 5x -3y=20 dan 3x-5y=-4 maka 6x - 4y=

2 Jawaban

  • 5x - 3y = 20
    3x - 5y = -4
    --------------------
    15x - 9y = 60
    15x - 25y = -20
    ------------------------ —
    16y = 80
    y = 5

    5x - 3y = 20
    5x - 3(5) = 20
    5x - 15 = 20
    5x = 35
    x = 7

    6x - 4y
    = 6(7) - 4(5)
    = 42 - 20
    = 22
  • eliminasi x
    5x - 3y = 20
    3x - 5y = -4
    =>15x -9y = 60
    15x - 25y = -20
    ________________--
    -9y -(-25y) = 60-(-20)
    -9y + 25y = 60+20
    16y = 80
    y = 80/16
    y = 5

    subsitusikan y = 5
    5x -3y = 20
    5x - 3.5 = 20
    5x - 15 = 20
    5x = 20+15
    x = 35/5
    x= 7

    jadi nilai x = 7 dan y= 5
    => 6x-4y
    => 6.7 - 4.5
    => 42 - 20
    => 22

    jadi hasil 6x - 4y = 22

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