Matematika

Pertanyaan

1/x + 1/y = 5
2/x - 3/y = -5
dengan cara metode substitusi
1/x + 1/y = 5 2/x - 3/y = -5 dengan cara metode substitusi

1 Jawaban

  • 1/x + 1/y = 5
    1/x = 5 - 1/y

    2/x - 3/y = -5
    2(1/x) - 3/y = -5
    2(5 - 1/y) - 3/y = -5
    10 - 2/y - 3/y = -5
    -5/y = -5 - 10
    -5/y = -15
    -5 = -15y
    y = -5/-15
    y = ⅓
    1/x = 5 - 1/(⅓)
    1/x = 5 - 3
    1/x = 2
    x = ½
    {x,y} = {½,⅓}