Determine the number of solutions of nonlinear system without solving.

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$x^2-y^2+2y=0$, $2x+y^2-6=0$

I need to determine the number of solutions without solving it. There is a hint that a graph can help but I am still not sure how to go about this.

Thanks

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Yes that is a good idea,this is how it will look. [Courtesy:Wolfram Alpha]

Plot of the curves