Answer
$(5,8\pm4\sqrt{21}),(-2,8)$
Work Step by Step
Adding the first and the second equation we get: $16x^2-48x-160=0\\x^2-3x-10=0\\(x-5)(x+2)=0$
Thus $x=5$ or $x=-2$
Plugging this into the second equation we get:
if $x=5$: $y^2-240-16y-32=0\\y^2-16y-272=0$
Using the quadratic formula $y=8\pm4\sqrt{21}$
if $x=-2$: $y^2+96-16y-32=0\\y^2-16y+64=0\\(y-8)^2=0$
Thus $y=8$
Thus the solutions are: $(5,8\pm4\sqrt{21}),(-2,8)$
