Solve by substitution. clearly identify your solution. y=-2x+2,y=7x+11

Substitution, which can also be taken as the equal values method. You just put in the first equation for y, as it’s the same thing.
2x+2=7x+11
-2 from both sides
2x=7x+10
-7x from both sides
-5x=10
divide both sides by -5
x=-2

Then you substitute -2 for x into one of the equations.
y=7(-2)+11
y=-14+11
y=-3

Your solution is (-2,-3).