Matematika

Pertanyaan

selesaiakan setiap sitem persamaan linier brikut dlm bntuk subtitusi
5y- 8z = 19
5x-8z. = 6
3x - 2y = 12

#bantu dgn caranya

1 Jawaban

  • 5y -8z = 19 ==> 8z = 5y -19. subsitusikan ke 5x -8z = 6, maka 5x -(5y - 19) = 6
    5x - 5y +19 = 6
    5x -5y = 6-19
    5x -5y = -13....(1)
    dari 3x -2y = 12
    2y = 3x -12
    y = (3x -12)/2. subsitusikan ke (1)
    5x -5y = -13
    5x -5(3x-12)/2 = -13
    5x -(15/2)x +30 = -13
    -(5/2)x = -13-30
    -(5/2)x = -33
    x = 66/5
    dari y = (3x-12)/2
    y = (3.66/5 -12)/2
    y = (3.33/5-6)
    y = 99/5 - 6
    y = 99/5 - 30/5
    y = 69/5
    dari 5y -8z = 18
    5(69/5)-8z = 18
    69-8z = 18
    -8z = 18-69
    -8z = -51
    z = 51/8
    HP = { (66/5, 69/5, 51/8) }

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