solve for x and y :
a2x+b2y=c2 , b2x+a2y=d2 .
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HERE IS YOUR ANS:-
a²x +b²y = c²------(1)
b²x+a²y = d²----(2)
now, subtract 2 from 1--
(a²-b²)x + y(b²-a²) = c²-d²
(x-y)(a²-b²)= c²-d²
x-y = c²-d²/(a²-b²)----(3)
similaly :- x+y = c²+d²/(a²+b²)-------(4)
on subtraction :- 3&4
we.get ;- y = d²a²-c²b²/(a⁴-b⁴) ans.
now on addition of (3)&(4):-
we get :- x = a²c²-d²b²/(a⁴-b⁴) ans.
☺hope it helps u ☺
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