10x = - 71 - 11y

3x = - 7 + 11y

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

(-6,-1) is the answer to your question.