a^2×+b^2y =c^2. b^2×+a^y=d^2.
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Multiply the first eq by a^2 and second eq. by b^2
then the two equations would become a^4x+a^2b^2y= a^2c^2 and b^4x+a^2b^2y= b^2d^2
by solving both the equations you will get x= a^2c^2- b^2d^2 / a^4 - b^4 and y= a^2d^2- b^2c^2 / a^4 - b^4
hope it helps..
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