Matematika

Pertanyaan

Tentukan himpunan penyelesaian dari sistem persamaan:
2×+5y=-3
3×-2y=5

2 Jawaban

  • 2x + 5y = -3 | x 3|
    3x - 2y = 5 | x 2 |

    6x + 15 y = -9
    6x - 4 y = 10
    ___________ -
    19 y = - 19
    y = -1

    2x + 5y = -3
    2x + 5.-1 = -3
    2x -5 = -3
    2x = 2
    x = 1

    Hp = {1 , -1}
  • 2x + 5y = 3 × 2 , 4x + 10y = 6
    3x - 2y = 5 × 5 , 15x - 10y = 25
    __________ +
    19x + 0 = 31
    x = 31/19
    2y = 3x - 5, y = 3/2x - 5/2
    y = 3/2(31/19) - 5//2
    y = 93/38 - 5/2 , y = 93/38 - 5(19)/38
    y = (93 - 95)/38 , y = -2/38 , y = -1/19

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