Answer
$$\left( {2,10} \right)$$
Work Step by Step
$$\eqalign{
& \,\,\,\,\,\,\,\,\,\,\,\,y = {x^2} + 6\,\,\,\,\,\left( {\bf{1}} \right) \cr
& {x^2} - {y^2} = - 96\,\,\,\,\,\,\,\,\,\left( {\bf{2}} \right) \cr
& \cr
& {\text{We know the point }}\left( {2,y} \right),{\text{ then }}x = 2 \cr
& {\text{Substitute }}x = 2{\text{ into the equation }}\left( {\bf{1}} \right){\text{ to find the value of }}y \cr
& y = {\left( 2 \right)^2} + 6 \cr
& y = 10 \cr
& \cr
& {\text{Therefore, one of the solutions onf the nonlinear systems is }} \cr
& \left( {2,10} \right) \cr} $$
