Answer:
The solutions are [tex](-5,1)[/tex] and [tex](0,6)[/tex]
Step-by-step explanation:
we have
[tex]y=x+6[/tex] ------> equation A
[tex]y=x^{2} +6x+6[/tex] -----> equation B
Using a graphing tool
solve the system of equations
Remember that the solution of the system of equations is the intersection point both graphs
The intersection points are [tex](-5,1)[/tex] and [tex](0,6)[/tex]
see the attached figure
