Question

How many solutions does the system have?



y=−2x+4y=x2−2x+4

Answer 1

One solution

Explanation:

we have

`y=-2x+4` ---> equation A

`y=x^(2)-2x+4` ---> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

there's only one point of intersection

so

The solution is the point (0,4)

see the attached figure

therefore

The system of equations has only one solution