Answer:
The solutions of the system of equations are (-1,8) and (5,2)
Step-by-step explanation:
[tex]y=-x+7[/tex] -------> equation A (equation of a line)
[tex]y=0.5(x-3)^{2}[/tex] ----> equation B (vertical parabola open upward)
Solve the system of equations by graphing
Remember that the solution is the intersection points both graphs
using a graphing tool
The intersection points are (-1,8) and (5,2)
see the attached figure
therefore
The solutions of the system of equations are (-1,8) and (5,2)
