ax+by=a×a,bx+ay=b×b
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soo what is the question in it
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The given pair of linear equations in two variables is:
ax+by=a^2 -----(i)
bx+ay=b^2 ------(ii)
Multiplying (i) by b,
abx+b^2y=a^2b ------(iii)
Multiplying (ii) by a,
abx+a^2y=ab^2 ------(iv)
By elimination method, subtracting (iii) from (iv),
abx-a^2y-abx+b^2y=a^2b-ab^2
=> a^2y-b^2y=ab(b-a)
=> (b^2-a^2)y=ab(b-a)
=>(b-a)(a+b)y=ab(b-a)
=>y=ab/(a+b)
Substituting value of y in (i),
ax+b{ab/(a+b)}=a^2
=>ax+ab^2/(a+b)=a^2
=>a[x+b^2/(a+b)]=a×a
=>x+b^2/(a+b)=a
=>x=a-{b^2/(a+b)}
=>x=(a^2+ab-b^2)/(a+b)
I hope my ans helps
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