Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8

Answer: The solution of the system is at point (1,6) and (7,0).Step-by-step explanation:Given : System of equation [tex]y=-x+7[/tex] and [tex]y=-0.5(x-3)^2+8[/tex]To find : Solve the system of equation?Solution : We solve the equation graphically as the intersection points give you the solution of the system.The equation given is one linear and one parabolic.(1) [tex]y=-x+7[/tex] is a linear equation in red line passes through (0,7) and (7,0).(2) [tex]y=-0.5(x-3)^2+8[/tex] is a parabolic equation in blue line passes through (-1,0) and (7,0)The intersection point of the equations are (1,6) and (7,0).Refer the attached figure below.Therefore, The solution of the system is at point (1,6) and (7,0).