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Rajan@2021
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Solve for x and y: x/a+y/b=2, ax-by=a²-b²

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This question is taken from linear equations in two variables and it was already asked in previous papers in which we have given two equations x/a+y/b=2, ax-by=a²-b² and we have to find the value of variables x and y

Kindly solve the above equations

RS Aggarwal, Class 10, chapter 3B, question no 41

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1 Answer

  1. Given equations are
    x​/a+y​/b=2;axby=
    x/a+y/b=2
    ay+bx=2ab _________ (1)
    axby= _______ (2)
    From (1) & (2)
    Multiply (1) by ‘a’ (2) by ‘b’
    abx+y=2b
    abxy=b
    –         +          –
    ________________________________
    y(+)=2b+
    y(+)=b+
    y=b [put in equation – 1]
    We get
    ay+bx=2ab
    a(b)+bx=2ab
    bx=2abab
    bx=ab
    x=ab/b
    x=a

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