Matematika

Pertanyaan

Diketahui SPLTV berikut
10x-5y+3z = -41
8x+6y+5z = 18
6x+3y+z = -13
Tentukan :
a.Himpunan Penyelesaian SPLTV
b.Nilai x-y+z

1 Jawaban

  • 10x-5y+3z=-41. (6) 8x+6y+5z=18 (3)
    8x+6y+5z=18. (5) 6x+3y+z=-13. (6)
    ___________ __________
    60x-30y+18z=-246. 24x+18y+15z=54
    40x+30y+25z=90. 36x+18y+6z=-78
    ______________ + ____________ -
    100x+43z=-156. -8x+9z=132

    100x+43z=-156(8)
    -8+9z= 132(100)
    ____________
    800x+344z=-1248
    -800x+900z=13200
    _______________+
    1244z=11952

    -8x+9z=132
    -8x+9(1244)=11952
    -8x+11196=11952
    -8x=756
    x=756/-8
    x=94.5



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