Chapter 5, Systems of Equations and Inequalities - Section 5.4 - Systems of Nonlinear Equations - 5.4 Exercises - Page 465: 2

See below.

Check$(-2,2)$ by plugging in $x=-2,y=2$ into the system: $2(2)-(-2)^2=4-4=0$, $2-(-2)=4$ Thus, both equations are satisfied. Check $(4,8)$ by plugging in $x=4,y=8$ into the system: $2(8)-(4)^2=16-16=0$, $8-4=4$ Thus, both equations are satisfied.