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Rajan@2021
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Solve for x and y: bx/a-ay/b+a+b=0, bx-ay+2ab=0

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This is the basic and conceptual question from linear equations in two variables in which we have been asked to find the value of variables x and y from the equations bx/a-ay/b+a+b=0, bx-ay+2ab=0

Kindly solve the above equations

RS Aggarwal, Class 10, chapter 3B, question no 46

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  1. bx​/a−ay​/b+a+b=0
    b²x−a²y+a²b+ab²=0......(i)
    bx−ay+2ab=0.......(ii)
    Multiply equation (ii) by b
    b²x−a²y+a²b+ab²=0
    b²x−aby+2ab²=0
    ——————————————————————–
    −a²y+aby+a²b−ab²=0
    ay(−a+b)=−a²b+ab²
    ay(−a+b)=ab(b−a)
    ay=ab
    y=b
    Substitute y=b in equation (i)
    b²x−a²b+ab²=0
    b²x=−a²b
    x=−a
    So, x=−a,y=b

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