Matematika

Pertanyaan

Tentukan nilai X dan Y, dengan cara eliminasi.
X + 3y + 5z=16
2x+ 4y +7z = 12
X+ y + 9z= 20

1 Jawaban

  • x + 3y + 5z = 16
    2x + 4y + 7z = 12
    x + y + 9z = 20

    1) x + 3y + 5z = 16 x2
    2x + 4y + 7z = 12 x1

    2x + 6y + 10z = 32
    2x + 4y + 7z = 12
    --------------------------------(-)
    2y - 3z = 20

    2) x + y + 9z = 20
    x + 3y + 5z = 16
    ---------------------------------(-)
    -2y + 4z = 4

    3) 2y - 3z = 20
    -2y + 4z = 4
    ------------------------------------(+)
    z = 24
    -2y + 4(24) = 4
    -2y + 96 = 4
    -2y = 4 - 96
    -2y = -92
    y = 46

    x + 46 + 24 = 20
    x = 20 - 46 -24
    x = -50

    kalau ada yg ga paham tanya ya dek :)







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