Matematika

Pertanyaan

Mintol bisa kamu kerjakan semua itu mintol
Mintol bisa kamu kerjakan semua itu mintol

1 Jawaban

  • 1) 3x = 11 + 2y
    3x - 2y = 11
    2x + y = 5 |×2
    maka
    3x - 2y = 11
    4x + 2y = 10
    -----------------(+)
    7x = 21
    x = 3
    • 3x - 2y = 11 |×2
    2x + y = 5 |×3
    maka
    6x - 4y = 22
    6x + 3y = 15
    ------------------(-)
    - 7y = 7
    y = - 1
    hp = { 3,-1 }

    2) 2x + y = 3
    y = - 2x + 3
    subtitusi ke :
    x - 3y = 5
    x - 3(-2x + 3) = 5
    x + 6x - 9 = 5
    7x = 5 + 9
    7x = 14
    x = 2
    subtitusi ke :
    y = - 2x + 3
    y = - 2(2) + 3
    y = - 4 + 3
    y = - 1
    hp = { 2 , - 1 }

    4) misal
    buku = x
    pensil = y
    10x + 2y = 16.200 |×2
    5x + 4y = 9.900
    maka
    20x + 4y = 32.400
    5x + 4y = 9.900
    ---------------------------(-)
    15x = 22.500
    x = 1.500
    subtitusi ke :
    5x + 4y = 9.900
    5(1.500) + 4y = 9.900
    7.500 + 4y = 9.900
    4y = 9.900 - 7.500
    4y = 2.400
    y = 600
    nilai 3x + 5y
    = 3(1.500) + 5(600)
    = 4.500 + 3.000
    = 7.500
    jadi harga 3 buku & 5 pensil = 7.500

    5) misal
    p = x + 5
    l = x
    K = 2 × ( p + l )
    58 = 2 × ( x + 5 + x )
    58 ÷ 2 = 2x + 5
    29 = 2x + 5
    29 - 5 = 2x
    24 = 2x
    x = 12
    maka
    p = x + 5 = 12 + 5 = 17 cm
    l = x = 12 cm
    L = p × l
    = 17 × 12
    = 204 cm²