Matematika

Pertanyaan

x + y + 2z = 1
4x + 2y + z = 4
9x + 3y + z = 17
tlong d jwab yhaa.lengkap sesuai pertnyaannya di atas

1 Jawaban

  • x + y + 2z = 1 (× 1)
    4x + 2y + z = 4 (× 2)

    ..x +... y + 2z = 1
    8x + 4y + 2z = 8
    ------------------------ -
    -7x - 3y = -7 =>pers.1

    4x + 2y + z = 4
    9x + 3y + z = 17
    ------------------------ -
    -5x - y = -13 => pers.2

    pers.1 => -7x - 3y = -7 (× 1)
    pers.2 => -5x - y = -13 (× 3)

    ..-7x - 3y =.. -7
    -15x - 3y = -39
    ---------------------- -
    8x = 32
    x = 32/8
    x = 4

    -7x - 3y = -7
    -7(4) - 3y = -7
    -28 - 3y = -7
    -3y = -7 + 28
    -3y = 21
    y = 21/-3
    y = -7

    x + y + 2z = 1
    4 + (-7) + 2z = 1
    4 - 7 + 2z = 1
    2z = 1 - 4 + 7
    2z = 4
    z = 4/2
    z = 2

    Jadi nilai x , y , dan z adalah 4 , -7 , dan 2

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