Matematika

Pertanyaan

1/x + 1/y = 2

4/x + 2/y = 7
Maka 3x + 5y =

1 Jawaban

  • jawab

    1/x = a
    1/y= b

    a+ b = 2.......}kali 2
    4a + 2b = 7

    2a + 2b = 4
    4a + 2b = 7 ...|(-)
    -2a = - 3
    a = 3/2
     
    a + b = 2
    b = 2 - a
    b = 2 - 3/2
    b = 1/2

    a = 3/2 → x = 2/3
    b = 1/2 → y= 2

    nilai 3x + 5y = 3(2/3) + 5(2)
    = 2 +10
    = 12

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