Matematika

Pertanyaan

Persamaan 3 variabel.
2a - 5b+c= -5
3a + b + 4c = 23
a-2b+3c=4
Tentukan nilai a-b+c

2 Jawaban

  • a=4
    b=3
    c=2
    a-b+c=4-3+2=1+2=3
    Gambar lampiran jawaban Nadzifah2912
  • 2a - 5b + c = -5 |x 1| 2a - 5b + c = -5
    3a + b +4c = 23 |x 5| 15a + 5b + 20 c = 115
    ______________________________ +
    17a + 21c = 110

    2a - 5b + c = -5 |x 2| 4a - 10b + 2c = -10
    a - 2b +3c = 4 |x 5| 5a - 10b + 15c = 20
    ______________________________-
    -a + 17c = - 30

    17a + 21c = 110 |x 1| 17a + 21c = 110
    -a + 17c = - 30 |x 17| -17a + 289c = -510
    ______________________________+
    310c = -400
    c = -40/31

    -a + 17c = - 30
    -a + 17.-40/31 = -30
    -a - 680/31 = -30
    -a = -30 +680/31
    -a = -930/31 + 680/31
    -a = -250/31
    a = 250/31


    2a - 5b + c = -5
    2. 250/31 - 5b -40/31 = -5
    500/31 - 5b -40/31 = -5
    460/31 -5b = -5
    -5b = -5 - 460/31
    -5b = -155/31 - 460/31
    -5b = -615/31
    b = 615/(31.5)
    b = 615/155
    b = 123/31

    a - b + c
    =250/31 - 123/31 + (-40/31)
    =87/31
    =2 25/31
    =2,8065

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