Matematika

Pertanyaan

tentukan himpunan penyelesaian dr spltv berikut dngn menggunakan cara metode substitusi
1.x+3y-z= -15
3x+2y+5z=15
2x-y+3z=0

1 Jawaban

  • 1x + 3y _ 2zip = _15
    3x + 2y 5z = 15
    2x _y + 3zip = 0
    x = ( _ 15 _ 3y + z ) /1

    3 ( _15_3y+z) /1 + 2y + 5z= 15
    _45 _ 9y + 3z+2y+5z=15
    _45 _ 7y + 8z= 15
    _7y + 8z= 15 + 45
    _7y + 8z= 60

    2 ( _15 _ 3y + z ) _y + 3z= 0
    _30 _ 6y +2z _ y + 3z = 0
    _30 _ 7y +5z= 0
    _7y +5z = 30


    y = ( 60 _8z) / _7
    _7(60 _ 8 z)/ _7 +5z= 30
    _420 + 56z _ 35z= _ 210
    21z = _ 210 + 420
    21z = 210
    z = 210 / 21
    z = 10

    _7y +8 x 10 = 60
    _ 7y = 60 _ 80
    y = _20 / _ 7
    y = 2 6/7

    1x + 3 x 2 6/7 + 10 = _15
    x = _15 _ 2 6/7 _ 10
    x = _195 / 7
    = _ 27 6/7

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