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

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There is only one solution and the solution is (0,4).

Step-by-step explanation:

The given system has equations;

and

We equate the two equations to determine their point of intersection;

We put x=0 into the first equation to get;

There is only one solution and the solution is (0,4).