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).
