Matematika

Pertanyaan

b. 1/x + 2/y = 1
1/x + 4/z = 0
1/y + 2/z = 1
b. 1/x + 2/y = 1 1/x + 4/z = 0 1/y + 2/z = 1

1 Jawaban

  • jawab
    a = 1/x
    b = 1/y
    c =1/z

    1/x+ 2/y = 1 → a + 2b = 1
    1/x + 4/z =0 → a + 4c = 0
    1/y + 2/z = 1 →  b + 2c = 1

    a + 2b = 1
    a + 4c = 0  |(-)
    b - 4c = 1

    b - 4c = 1
    b + 2c = 1 | (-)
    -6c = 0
    c = 0

    b - 4c = 1
    b - 4(0)= 1
    b = 1

    a+ 2b = 1
    a +2(1) = 1
    a = - 1

    x =1/a = -1
    y = 1/b= 1
    z = 1/c = ∞