Question

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

Answer 1

Answer:

The solutions of the system of equations are (-1,8) and (5,2)

Step-by-step explanation:

$y=-x+7$ -------> equation A (equation of a line)

$y=0.5(x-3)^{2}$ ----> 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)