Answer:
There is only one solution and the solution is (0,4).
Step-by-step explanation:
The given system has equations;
[tex]y=-2x+4[/tex]
and
[tex]y=x^2-2x+4[/tex]
We equate the two equations to determine their point of intersection;
[tex]x^2-2x+4=-2x+4[/tex]
[tex]\Rightarrow x^2-2x+2x+4-4=0[/tex]
[tex]\Rightarrow x^2=0[/tex]
[tex]\Rightarrow x=0[/tex]
We put x=0 into the first equation to get;
[tex]y=-2(0)+4=4[/tex]
There is only one solution and the solution is (0,4).
