Matematika

Pertanyaan

perhatikan sistem persamaan linear berikut 4x+2y = 76 ..(1) 5x +2z = 66 ..(2) 4y+3z = 72 ..(3) himpunan penyelesian daru sistrm persamaan tersubut adalah

1 Jawaban

  • 4x + 2y = 76 I x2 I = 8x + 4y= 152
    4y+ 3z  = 72 I x1 I = 4y + 3z= 72    -
                                  = 8x - 3z=  80

    5x+ 2z = 66 I x8 I = 40x + 16z= 528
    8x - 3z = 80 I x5 I = 40x -  15z= 400 -
                                 = 16z + 15z= 128
                                 = 31z= 128
                                    z = 4,13

    4y + 3z         = 72
    4y + 3(4,13) = 72
    4y + 12,39   = 72
    4y = 72 - 12,39
    4y = 59,61
    y   = 14,9

    4x + 2y    = 76
    2x + y      = 38
    2x + 14,9 = 38
    2x = 38 - 14,9
    2x = 23,1
    x = 11,55

    HP = {x= 11,55  y= 14,9  z= 4,13}

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