Solve.

{2x+7y=2}

{x+y=-1}

So you need to do substitution. First solve the easier equation for 1 variable.

x+y=-1 now subtract x to get y=-x-1. Then plug this into the top equation to get 2x+7 (-x-1) = 2. Next distribute to get 2x+-7x-7=2. Now combine like terms to get - 5x=9 so x=-5/9. Now you have to plug this back into the original equation to get y. 2 (-5/9) + 7y=2, so - 10/9 + 7y=2. No move terms around to get 7y=28/9 then divide by 7 to get y = 4/9