Matematika

Pertanyaan

bagi yang mengerti SPNLDV tolong jawab soal no.13&14 y
bagi yang mengerti SPNLDV tolong jawab soal no.13&14 y

2 Jawaban

  • 13.]
    Misal 1/(2x + 3y) = a
    1/(3x - 2y) = b

    ½ a + ¹²/₇ b = ½ [x 14]
    ➙ 7a + 24b = 7
    ➙ 7a + 4b = 2
    ––––––––––––– (–)
    20b = 5
    b = ¼

    1/(3x - 2y) = ¼
    3x - 2y = 4 |x 2| 6x - 4y = 8 ... (i)

    Subtitusikan
    7a + 4(¼) = 2
    7a = 2 - 1
    7a = 1
    a = ⅐

    1/(2x + 3y) = ⅐
    2x + 3y = 7 |x 3| 6x + 9y = 21 ... (ii)

    Eliminasi (i) dan (ii)
    6x - 4y = 8
    6x + 9y = 21
    ––––––––– (–)
    -13y = -13
    y = -1

    Subtitusikan
    2x + 3y = 7
    2x = 7 - 3(-1)
    2x = 10
    x = 5

    HP : {5 , -1}

    14.]
    Misal 1/x = a , 1/y = b
    2a + 3b = 6 ... (i)

    a + ½ b = 2 |x 2| 2a + b = 4 ... (ii)

    Eliminasi (i) dan (ii)
    2a + 3b = 6
    2a + b = 4
    ––––––––– (–)
    2b = 2
    b = 1
    1/y = 1
    y = 1

    2a + b = 4
    2a = 4 - 1
    2a = 3
    a = ³/₂
    1/x = ³/₂
    x = ⅔

    HP : { ⅔ , 1 }

  • Ya cari lah mas bro wkwk