I need to find the solutions set for the system's equations in the same rectangular coordinate system and finding points of intersection.
X^2+y^2=1 x^2+49y^2=49

Question

I need to find the solutions set for the system's equations in the same rectangular coordinate system and finding points of intersection. 
X^2+y^2=1  x^2+49y^2=49

anonymous · Answer

one is a circle the second is an ellipse i guess we could do this by hand first thing i would do is cheat http://www.wolframalpha.com/input/?i=x^2%2By^2%3D1%2C+x^2%2B49y^2%3D49

anonymous · Answer

Okay-but how would you present the solutions as ordered pairs?
(0,-1),(0,1)?

anonymous · Answer

actually it is not that hard even to do it by hand
the first one is the unit circle center origin radius 1

anonymous · Answer

the second is an ellipse also at the origin, with minor axis of length 2, so they both go through the points $(0,1)$ and $(0,-1)$

anonymous · Answer

Thanks :-)
I was typing it into Wolframalpha wrong apparently. This helped a lot. 
Appreciate it a lot.