Answer
$(4,0)$
Work Step by Step
Adding the first and negative nine times the second equation we get: $-32x^2-56x+576=-160\\4x^2+7x-92=0\\(x-4)(4x+23)=0$
Thus $x=4$ or $x=-5.75$
Plugging this into the second equation we get:
if $x=4$: $64-y^2-64=0\\y=0$
Using the quadratic formula $y=8\pm4\sqrt{21}$
if $x=-5.75$: $132.25+y^2-64=0\\y^2=-68.25$
Thus here there isn't any solution.
Thus the solutions are: $(4,0)$
