Matematika

Pertanyaan

spldv 3x+y=-2,-2x+3y=5

2 Jawaban

  • jawab

    3x + y = - 2.....kali 3
    -2x + 3y = 5

    9x+ 3y = - 6
    -2x + 3y = 5.....(-)
    11x = - 11
    x = -1

    -2x + 3y = 5
    2 + 3y = 5
    3y = 3
    y = 1

    (x,y)=(-1, 1)
  • M. Substitusi
    3x+y=-2...1=>y=-2-3x
    -2x+3y=5

    -2x+3(-2-3x)=5
    -2x-6-9x=5
    -2x-9x=5+6
    -11x=11
    x=-1

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

    HPB:{-1,1}
    M. eliminasi
    Elim x
    3x+y=-2/×2 =>6x+2y=-4
    -2x+3y=5/×3 =>-6x+9y=15

    6x+2y=-4
    -6x+9y=15
    ________+
    11y=11
    y=1


    Elim y
    3x+y=-2/×3 =>9x+3y=-6
    -2x+3y=5/×1 =>-2x+3y=5

    9x+3y=-6
    -2x+3y=5
    ________-
    11x=-11
    x=-1

    HPB:{-1,1}

    Semoga membantu

Pertanyaan Lainnya