Matematika

Pertanyaan

maka nilai x +y+z
tolong dengan cara mengerjakannya yha kak
maka nilai x +y+z tolong dengan cara mengerjakannya yha kak

2 Jawaban

  • x + y/2 = 10 > dikalikan 1/4
    y/4 - z = -2 > dikalikan 1/2
    Hasilnya:
    1/4x - 1/2z = 3/2
    Hasil diatas dikurangi x/3 + z/2
    Hasilnya: -1/2x=5/2.
    Jadi x= 5/2 : -1/12 =5/2.(-12) = -30.
    Mencari Y:
    x+y/2=10.
    (-30)+y/2=10
    y/2=10+30
    y=40:1/2=20.
    Mencari Z
    Z/2+x/3=4
    Z/2+1/3.(-30)=4
    Z/2+(-10)=4
    Z/2=4+10
    Z=14:1/2=14.2=28
    Jadi x+y+z= (-30)+20+28=18 (B)
  • 1. x+y/2 = 10
    2(x+y/2) = 2x10
    2x +y = 20

    2. y/4 - z= -2
    4(y/4 -z) = 4(-2)
    y -4z = -8

    3. z/2 + x/3 =4
    3z/6 + 2x/6 = 4
    6(3z/6 + 2x/6) =6(4)
    3z + 2x = 24

    persamaan 1 dan 2 =
    2x + y = 20
    y = 20 - 2x

    y - 4z = -8
    (20-2x) - 4z = -8
    20+8 = 2x+4z
    2x+ 4z = 28

    4z+2x = 28
    3z+ 2x = 24
    __________ _
    z +0 = 4
    z = 4


    y -4z = -8
    y -4(4) = -8
    y-16 = -8
    y = 16-8
    y = 8

    2x + y = 20
    2x + 8 = 20
    2x = 20-8
    2x = 12
    x = 12/2
    x = 6


    maka x+y+z = 6+8+4 = 18

    B. 18