Matematika

Pertanyaan

Jika a dan b adalah penyelesaian dari sistem persamaan 4a - 3b = 22 dan 3a + 7b =-2 ,maka nilai 2a + 5b adalah?........ Thnks

2 Jawaban

  • 4a - 3b = 22
    4a = 22 + 3b
    a = (22 + 3b)/4

    3a + 7b = -2
    3 ((22 + 3b)/4) + 7b = -2
    3/4 (22 + 3b) + 7b = -2
    3/4 (22 + 3b) + 4/4 (7b) = -2
    3 (22 + 3b) + 4 (7b) = -2 (4)
    66 + 9b + 28b = -8
    37b = -74
    b = -2

    maka , a = (22 + 3b)/4 = (22 + 3 (-2)) / 4 = (22 - 6) / 4 = 16 / 4 = 4

    2a + 5b = 2 (4) + 5 (-2) = 8 + (-10) = -2
  • 4a - 3b = 22 (x3)
    3a + 7b = -2 (x4)

    12a - 9b = 66
    12a + 28b = -8
    _________ -
    37b = 74
    b = -2
    4a - 3b = 22
    4a - (3 x -2) = 22
    4a + 6 = 22
    4a = 22 - 6
    4a = 16
    a = 4

    2a + 5b =
    = (2 x 4) + (5 x -2)
    = 8 + - 10
    = -2

    #semoga membantu

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