Matematika

Pertanyaan

subtitusikan
p.s : nomor 2 pke pemisalan
subtitusikan p.s : nomor 2 pke pemisalan

1 Jawaban

  • 1. 2x + y = 7 | x-3
    5 x - 3y = 1 | x1

    -6x + -3y = -21
    5x -3y = 1
    ___________ —
    11x=22
    x=2

    sub. ke pers 1
    2x + y= 7
    2(2)+y =7
    y=7-4
    y=3

    hp(2,3)

    2. misal 1/x =a dan 1/y=b
    a + 2b = 1 | x5
    3a + 10b = 4 |x1

    5a + 10b = 5
    3a + 10b = 4
    _____________ —
    2a= 1
    a=½
    1/x = ½
    x=2

    subs a ke pers 1
    a + 2b = 1
    (½) + 2b = 1
    2b = 1 - ½
    b= ½ per 2
    b=1/4
    1/y = 1/4
    y=4

    hp (2,4)

    3. ½x + ⅓y = -1 | x2
    ⅓x - ¼y = 5 | x3

    x + ⅔y = -2
    x - ¾y = 15
    ____________—
    17/12 y =17
    y=12

    sub y ke pers 1
    ½x + ⅓y = -1
    ½x + ⅓(12) = -1
    ½x + 4 = -1
    x= -5 per ½
    x = -10/2
    x=-5

    hp (-5,12)

    4.6x + 2y = 11 | x1
    3x - 4y = 8 | x2

    6x + 2y = 11
    6x - 8y = 16
    _____________—
    10y=-5
    y=-½

    sub y ke pers 1
    6x + 2y = 11
    6x + 2(-½)=11
    6x - 1 = 11
    6x = 12
    x = 2

    hp (2, -½)