Matematika

Pertanyaan

1. Diket SPLDV
5x-4y=-1
10x-2y=3
Selesaikan dgn metode eleminasi
2. Diket SPLDV
2x-3y=-10
x+2y=2
Selesaikan dgn metode substitusi

1 Jawaban

  • 1) eliminasi:
    nilai y=5/6
    5x–4y=–1 x2
    10x–2y=3 x1
    .........................
    10x–8y=–2
    10x–2y=3
    .........................–
    –6y=–5
    y=5/6

    nilai x=7/15
    5x–4y=–1 x1
    10x–2y=3 x2
    ................................
    5x–4y=–1
    20x–4y=6
    ..........................–
    –15x=–7
    x=7/15
    2)substitusi:
    nilai y=2
    2x–3y=–10 .........(1)
    x+2y=2 ................(2) –> x=2–2y .......(3)
    substitusikan pers(3) ke pers(1)
    2(2–2y)–3y=–10
    4–4y–3y=–10
    –7y=–14
    y=2

    nilaix=–2
    substitusikan y=2 ke pers(2)
    x+2(2)=2
    x+4=2
    x=–2
    semoga membantu ya....

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