SOLUTION: Solve: x^2+y^2=16 x^2/25 + y^2/16 =1 (a) no solutions (b) [(0, -1), (0,4)] (c) [(0, -5), (0,5)] (d) [(-5, 0), (5, )]

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i believe that the answer is b) except you have written the answer incorrectly.

and


. Sub this into the second equation, to give:






-->
so x = 0.

If x=0, then from , we get
-->
--> or

so, y = 4 or -4.

The 2 solutions are (0,4) and (0,-4).

Check in the second equation,

using (0,4):


which is indeed 1... correct.

using (0,-4):


which is also 1... correct

jon.