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Rajan@2021
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Solve for x and y: 23x-29y=98, 29x-23y=110

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This question is taken from linear equations in two variables in which we have given two equations 23x-29y=98, 29x-23y=110 and we have to find the value of variables x and y from the given equations

Kindly solve the given equations in a detailed manner

RS Aggarwal, Class 10, chapter 3B, question no 34

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1 Answer

  1. 23x−29y=98⟶(i)

    29x−23y=110⟶(ii)

    Adding (i) and (ii) we get ,
    52x−52y=208
    ⇒52(x−y)=208
    ⇒x−y=4⟶(iii)
    Substracting (ii) from (i),
    −6x−6y=−12
    ⇒x+y=2⟶(iv)
    Now by solving (iii) and (iv),
       2x=6
    ⇒x=3
    Substituting value of x in equation (iv),
    3+y=2
    y=−1
    ∴x=3 and y=−1

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