Question

How many solutions does the system have? y=−2x+4y=x2−2x+4

Answer 1

Answer:

One solution

Step-by-step 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