SOLUTION: solve the system x^2/16 + y^2/25 =1 x^2+y^2 =25

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Question 250804: solve the system
x^2/16 + y^2/25 =1
x^2+y^2 =25
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have the following original formulas:
(i) x%5E2%2F16+%2B+y%5E2%2F25+=+1
(ii) x%5E2++++%2B+y%5E2++++=+25
multiply the first equation by 400.
(iii) 25x%5E2+%2B+16y%5E2+=+400
(iv) x%5E2++++%2B+++y%5E2+=+25
multiply (iv) by -16.
(v) 25x%5E2++%2B+16y%5E2+=+400
(vi) -16x%5E2+-+16y%5E2+=+-400
add (v) and (vi).
9x^2 = 0; x = 0.
If X = 0, then Y = +-5.