Matematika

Pertanyaan

tolongin aku dong... ini kepepet banget
tolongin aku dong... ini kepepet banget

2 Jawaban

  • Jawabannya adalah:
    13. A
    14. C. 
    Gambar lampiran jawaban j4m3shozlfu9
  • 13) ( 2 / x ) - ( 1 / y ) = 2

    2(y) - 1 ( x )
    ----------------- = 2
    x • y

    2y - x = 2( xy )

    2y - x = 2xy .... pers 1

    ( 3 / x ) - ( 4 / y ) = 18

    3 ( y ) - 4 ( x )
    -------------------- = 18
    x • y

    3y - 4x = 18 ( xy )

    3y - 4x = 18xy .. pers 2

    pers 1 & 2
    2y - x = 2xy |×4
    3y - 4x = 18xy
    maka
    8y - 4x = 8xy
    3y - 4x = 18xy
    ------------------(-)
    5y = - 10xy
    x = 5y / - 10y
    x = - ½

    subtitusi ke pers
    2y - x = 2xy
    2y + ½ = 2(-½)y
    2y + ½ = - y
    2y + y = - ½
    3y = - ½
    y = - ½ ÷ 3
    y = - ½ × 1/3
    y = - 1/6

    hp = ( - ½ , - 1/6 ) ( A )

    14) ½x + y = 2½
    ½x + y = 5/2 ( dikali 2)
    x + 2y = 5 ... pers 1

    pers 1 & 2
    3x - 4y = 5
    x + 2y = 5 |×2
    maka
    3x - 4y = 5
    2x + 4y = 10
    -------------------(+)
    5x = 15
    x = 3

    subtitusi ke pers
    x + 2y = 5
    3 + 2y = 5
    2y = 5 - 3
    2y = 2
    y = 1

    nilai
    x = p = 3
    y = q = 1
    p + q = 3 + 1 = 4 ( C )