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Rajan@2021
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Solve for x and y: bx/a+ay/b=a²+b², x+y=2ab

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This is the basic and exam oriented question from linear equations in two variables in which we have given two equations bx/a+ay/b=a²+b², x+y=2ab and we have to find the value of variables x and y from the equations

Kindly solve the above equations

RS Aggarwal, Class 10, Chapter 3B, question no 47

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1 Answer

  1. Given equation are

    bx/a+ay​/b=+ ….(i)
    x+y=2ab….(ii)
    eqn(i) can be written as,
    bx​/a+ay/b=+
    x+y=ab×(+)
    x=(ab×(+)y​)/b²….(iii)
    Now from eqn (ii), y = 2ab – x…(iv)
    On substituting y = 2ab – x in eqn (iii), we get
    x=(b+a2b+x)/b²
    x=ab+x
    xx=ab
    ()x=ab()
    x=ab
    Now putting x = ab in eqn (iv) we get
    y=2abab
    y=ab
    Thus, x=ab and y=ab is the required solution

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