Question

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

Answer 1

The solution of the system is at point (1,6) and (7,0).

Explanation:

Given : System of equation
`y=-x+7` and
`y=-0.5(x-3)^2+8`

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)
`y=-x+7` is a linear equation in red line passes through (0,7) and (7,0).

(2)
`y=-0.5(x-3)^2+8` 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).