Matematika

Pertanyaan

2/x + 1/y = 1 1/5 dan 1/x - 3/y = - 1/10
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1 Jawaban

  • 1/x - 3/y = - ¹/₁₀
    1/x = - ¹/₁₀ + 3/y

    2/x + 1/y = ⁶/₅
    2(- ¹/₁₀ + 3/y) + 1/y = ⁶/₅
    - ²/₁₀ + 6/y + 1/y = ⁶/₅
    7/y = ⁶/₅ + ²/₁₀
    7/y = ⁷/₅
    y = 5

    Subtitusikan y = 5
    1/x - ³/₅ = - ¹/₁₀
    1/x = - ¹/₁₀ + ³/₅
    1/x = ½
    x = 2

    HP : {2 , 5}


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