What is the maximum number of possible solutions for the system shown below?
3x^2+y^2=4
x^2+y=5

choices
1
2
3
4

The first function  describes an ellipse.
The 2nd function  describes a parabola.

If you draw an ellipse and then draw a parabola where vertex is centered and above ellipse, you will see that it intercepts the ellipse twice on either side.

Maximum number of solutions = 4

The answer is poppy pants69