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Solve for x and y where …

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Solve for x and y where x + y = a+ b and ax+ by= a^2 + b^2

    • Posted by Kritika Alung 7 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Susai Raj 7 years, 6 months ago

    x + y = a + b multiply both sides with a we get
    ax + ay = a^2 + ab ...(1)
    ax + by =a^2 + b^2 ...(2)
    (1) - (2) gives
    y(a+b) = b(a+b)
    So y =b (a+b)/(a+b)
    ie. y = b
    Substitute y = b in the equation x+y=a+b
    x+b = a+b
    x = a+b-b. ie x= a
    So x=a and y = b

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