Chapter 9 - Quadratic Functions and Equations - 9-8 Systems of Linear and Quadratic Equations - Practice and Problem-Solving Exercises - Page 600: 27

$(-4,1),(2,-5)$.

The given system is $y=-0.5x^2-2x+1$ and $y+3=-x$ Graph each equation by using a graphing calculator. The points of intersection are $A=(-4,1)$ and $B=(2,-5)$ Hence, the solutions are $(-4,1)$ and $(2,-5)$.