I know I posted this already but..

I don't understand what exactly is the answer, since the answer key shows the intersection of the circle and hyperbole at (-5,0)

What about (7.5,0)???? By the way the graph has one intersection point...

How do you know the correct answer????

Calculate the solution set.
x^2+y^2+8x=-15
9x^2+25y^2=225

My work:
I did elimination...multiplied -25 to the top equation and got..... -16x^2-200x-600...I then used quadratic formula ... And got -7.5 and -5.....