If we add theses 2 equations we eliminate the y terms ( -11y + 11y = 0):-
so adding we get
13x = -78
x = -6
Substitute x = -6 in the first equation:-
10(-6) = -71-11y
11y = -71 + 60 = -11
y = 1
So the solution to the system of equations is x = -6,y = 1