Matematika

Pertanyaan

Diketahui sistem persamaan linear 3x+4y=-46 dan 2x = 5y
Nilai 4x-3y adalah...
Pliss jawab yaa :))

2 Jawaban

  • 3x +4y = -46 ...(1)
    2x = 5y
    x = 5/2 y...(2)

    subtitusi :
    3x + 4y = -46
    3(5/2 y)+4y = -46
    15/2 y+ 4y = -46
    (15/2 + 8/2)y = -46
    23/2 y = -46
    y = -46 × 2/23
    y = -4

    x = 5/2 y
    x = 5/2 (-4)
    x = -10

    jadi 4x -3y
    =4(-10) - 3(-4)
    = -40 - (-12)
    = -28

    semoga membantu
  • 3x + 4y = -46
    2x = 5y
    x = 5/2 y
    subtitusi x

    3x = 3(5/2y) = 15/2y
    15/2 + 4y = -46
    23/2 y = -46
    kedua ruas dikali 2
    23 y = -92
    y = -92/ 23 = -4

    subtisusi y
    3x = 15/2 (-4)
    3x = 15(-2)
    3x = -30
    x = -30 /3 = -10

    4x - 3y
    4(-10) - 3(-4)
    =-40 - (-12)
    = - 40 + 12
    = -28

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