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
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