Matematika

Pertanyaan

tolong substitusikan.SPLTV berikut
tolong substitusikan.SPLTV berikut

1 Jawaban

  • Materi : SPLTV
    Kelas : X SMA
    Metode : Substitusi

    x + y + 2z = 9 ............. 1)
    2x + 4y - 3z = 1 .......... 2)
    3x + 6y - 5z = 0 ......... 3)

    ◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◇◇
    ◇x + y + 2z = 9 <=> x = 9 - y - 2z ◆
    ◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇

    2x + 4y - 3z = 1
    2(9 - y - 2z) + 4y - 3z = 1
    18 - 2y - 4z + 4y - 3z = 1
    2y - 7z = 1 - 18
    2y - 7z = -17 .............. 4)

    3x + 6y - 5z = 0
    3(9 - y - 2z) + 6y - 5z = 0
    27 - 3y - 6z + 6y - 5z = 0
    3y - 11z = -27 ............ 5)

    2y - 7z = -17 ......... ×3
    3y - 11z = -27 ........ ×2
    •••••••••••••••••••••••••
    6y - 21z = -51
    6y - 22z = -54
    ••••••••••••••••••••••••• [-]
    z = 3

    2y - 7z = -17
    2y - 7(3) = -17
    2y - 21 = -17
    2y = -17 + 21
    2y = 4
    y = 2

    x = 9 - y - 2z
    x = 9 - 2 - 2(3)
    x = 7 - 6
    x = 1

    Hp = { 1 , 2 , 3 }