Matematika

Pertanyaan

tolong di bantu soalnya susah nomor 14 15
tolong di bantu soalnya susah nomor 14 15

1 Jawaban

  • 14.
    [tex] \frac{1}{3} x - \frac{2}{5} y = 3 \: \: \: dua \: ruas \: kali \: 15 \\ 5x - 6y = 45[/tex]
    [tex] \frac{2}{3} x + \frac{1}{5} y = 1 \: dua \: ruas \: kali \: 15 \\ 10x + 3y = 15[/tex]
    Eliminasi :
    5x - 6y = 45 | *2
    10x + 3y = 1 |*1
    .....................
    10x - 12y = 90
    10x + 3y = 1
    ...................... -
    -15y = 75
    y = 75/-15
    y = -5

    Tentukan nilai x :
    5x - 6y = 45
    5x - 6(-5) = 45
    5x + 30 = 45
    5x = 45-30
    5x = 15
    x = 15/5
    x = 3

    Maka :
    x = m = 3
    y = n = -5

    Sehingga, 2m - 2n :
    = 2(3) - 2(-5)
    = 6 - (-10)
    = 16

    Jawaban B.




    15.
    [tex]2x - 6 \geqslant 18 + 4x \\ 2x - 4x \geqslant 18 + 6 \\ - 2x \geqslant 24 \\ x \leqslant - \frac{24}{2} \\ x\leqslant - 12[/tex]
    HP {..., -15,-14,-13,-12}

    Jawaban C