solve it.....,......................
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2x^2+3y^2=35. (I)
x^2/2+y^2/3=5
=3x^2+2y^2/6=5
=3x^2+2y^2=30. (ii)
from equation (I)
=2x^2=35-3y^2
=x^2=35-3y^2/2. (iii)
putting the value of x^2 in equation (ii)
3(35-3y^2)/2+2y^2=30
=(105-9y^2)/2+2y^2=30
=(105-9y^2+4y^2)/2=30
=105-5y^2=60
=-5y^2=60-105
=-5y^2=-45
=5y^2=45
=y^2=9. (iv)
putting the value of y^2 from equation (iv) into equation (iii)
x^2=(35-9)/2
=x^2=(26)/2
=x^2=13
therefore y=3
x=√13
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