Answer:
[tex](1,1)[/tex]
Step-by-step explanation:
we have
[tex]y=x^{2}-x+1[/tex] -------> equation A
[tex]y=x[/tex] -------> equation B
we know that
The solution of the system of equations is the intersection points both graphs
using a graphing tool
see the attached figure
The intersection both graphs is the point [tex](1,1)[/tex]
therefore
the solution is the point [tex](1,1)[/tex]
