Matematika

Pertanyaan

persamaan linear tiga variabel
2x+3y= 2
x+2z= 1
3y+8z= 3
tolong jawab yaa

2 Jawaban

  • 2x + 3y  = 2
    x + 2z  = 1 ||x2

    2x + 3y = 2
    2x +4z = 2 ||(-)
    3y - 4z = 0

    3y +8z = 3
    3y - 8z = 0|| (-)
    18z = 3
    x = 3/18= 1/6

    x + 2z = 1
    2z = 1 - x = 1 - 1/6 = 5/6
    z = 5/12

    2x+ 3y = 2
    3y= 2 - 2x = 2 - 2(1/6) = 5/3
    y = 5/9

  • Materi : SPLTV

    2x + 3y = 2 ......... 1)
    x + 2z = 1 ............ 2)
    3y + 8z = 3 ......... 3)

    2x + 3y = 2 ..... ×1
    x + 2z = 1 ........ ×2
    ◆◆◆◆◆◆◆◆◆◆◆◆◆
    2x + 3y = 2
    2x + 4z = 2
    ◆◆◆◆◆◆◆◆◆◆◆[-]
    3y - 4z = 0

    3y - 4z = 0
    3y + 8z = 3
    ◆◆◆◆◆◆◆◆◆◆ [-]
    -12z = -3
    z = -3/1-12
    z = 3/12
    z = 1/4

    x + 2z = 1
    x + 2(1/4) = 1
    x + 2/4 = 1
    x = 1 - 2/4
    x = 4/4 - 2/4
    x = 2/4
    x = 1/2

    2x + 3y = 2
    2(1/2) + 3y = 2
    1 + 3y = 2
    3y = 2 - 1
    3y = 1
    y = 1/3

    Hp = {1/2 , 1/3 , 1/4 }

    Semoga Membantu ^_^

Pertanyaan Lainnya