Matematika

Pertanyaan

Harga 5 buah pulpen dan 8 buah pensil adalah....
Harga 5 buah pulpen dan 8 buah pensil adalah....

2 Jawaban

  • pulpen = x
    pensil = y

    6x + 5y = 11.200 --> × 4
    8x + 6y = 14.400 --> × 3

    24x + 20y = 44.800
    24x + 18y = 43.200
    ---------------------------- -
    2y = 1.600
    y = 800 --> harga 1 pensil rp800
    6x + 5y = 11.200
    6x + 5×800 = 11.200
    6x = 11.200 - 4.000
    6x = 7.200
    x = 1.200 --> harga 1 pulpen rp 1.200

    harga 5 pulpen & 8 pensil
    = 5 × 1.200 + 8 × 800
    = 6.000 + 6.400
    = Rp12.400

  • Misi x=pensil
    Y=pulpen
    =6x+5y=11,200. (×4)
    =8x+6y=14,400. (×3)

    24x+20y=44,800
    24x+18y=43,200 =(-)
    2y=1600
    Y=800
    Substitusi ke persamaan 1
    6x+5y=11,200
    6x+5(800)=11,200
    =6x+4000=11,200
    6x=11,200-4000
    6x=7200
    X=1200
    Dit (5x+8y)=.....
    =5(800)+8(1200)
    =4000+9600
    =13,600,00
    =B
    Thanks