Matematika

Pertanyaan

diketahui 2x+2y-3z=-4 2x-y+z=3 3x+y+z=10 berapakah nilai x y dan z

1 Jawaban

  • 2x +2y -3z = -4....pers (1)
    2x -y + z = 3 .........pers (2)
    3x + y + z = 10 ......pers (3)

    pers (1) dan (2)
    2x + 2y - 3z = -4
    2x -y +z =3
    ------------------- -
    3y + 4z = 7.... (4)

    pers (1) dan (3)
    2x+ 2y -3z = -4| 3|6x + 6y - 9z = -12
    3x + y + z = 10 | 2| 6x +2y +2z = 20
    -------------------------------------------------- -
    4y + 11z = 32 ...(5)
    pers (4) dan (5)
    3y + 4z =7 | 11| 33y + 44z = 77
    4y + 11z = 32 | 4| 16y + 44z = 128
    --------------------------------------------- -
    17y = 51
    y= 3
    3y + 4z = 7
    3(3) + 4z = 7
    9 + 4z = 7
    4z = 7 -9
    4z = -2
    z = -2

    3x + y + z = 10
    3x + (3)+ (-2)= 10
    3x + 3 -2 = 10
    3x + 1 = 10
    3x = 10 - 1
    3x = 9
    x = 3
    jadi nilai dari x , y , z adalah = { 3, -2 , 3}



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