Answer:
The value of y that satisfies the system of equations is 20
Step-by-step explanation:
we have
[tex]y=-6x+2[/tex]
[tex]y=x^{2}+11[/tex]
we know that
The solution of the system of equations is the intersection point both graphs
using a graphing tool
the intersection point is (-3,20)
see the attached figure
therefore
The value of y that satisfies the system of equations is 20