Matematika

Pertanyaan

kerjakan dengan metode eliminasi dan substitusi sertakan dgn caranya a.x+3y=1
5x+3y=19

b.6p-q=1
4p-3q+40-0

c.x-2y+1=0
2x+3y=16

1 Jawaban

  • bagian a
    x + 3y = 1
    5x+3y =19
    ________ _
    -4x = -18
    x = 9/2

    substitusikan x = 9/2
    x + 3y = 1
    9/2 + 3y = 1
    3y = 1 - 9/2
    3y = -7/2
    y = -7/6

    jadi x = 9/2 dan y = -7/6

    bagian b
    6p-q =1 |×3
    4p-3q = -40 |×1
    ____________
    18p-3q = 3
    4p-3q = -40
    __________ _
    14p = 43
    p = 43/14

    substitisikan p = 43/4
    6p - q = 1
    6(43/4)-q = 1
    129/2-q = 1
    -q = 1-129/2
    -q = -127/2
    q = 127/2

    bagian c

    x-2y = -1 | ×2
    2x+3y=16
    _________
    2x-4y =-2
    2x+3y=16
    ________ _
    -7y = -18
    y = 18/7

    substitusikan y=18/7

    x -2y =-1
    x = -1+2y
    x = -1+36/7
    x = 31/7

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