Question

Find all solutions for the system of equations:
(x^2)+2(y^2)=2
2(x^2)-3y=15

Answer 1

x^2 = (15+3y)/2

(15+3y)/2 + 2y^2 = 2

4y^2+3y+11 = 0

...i don't think you will have real solution

Answer 2

i tried it, and when i graphed both, i go a parabola and a small curve, assuming that its a part of a circle, but they do not intersect

Answer 3

an ellipse and a parabola

Answer 4

for the first equation i got to y =sqrt((-x+2)/2)
and second i got y= (2(x^2)/3)-5

Answer 5

http://www.wolframalpha.com/input/?i=%28x%5E2%29%2B2%28y%5E2%29%3D2%2C+2%28x%5E2%29-3y%3D15

they do not intersect ... you will have only imaginary solutions