The answer: x=857 and y=-401
Set up the two equations
X+2y=55
2x+y=1313
Solve the system of equations by elimination
2x+y=1313
-2x-4y=-110
Add each of the corresponding terms together
-3y=1203
Divide by -3
Y=-401
Plug y back into one of the original equations
X+2(-401)=55
X-802=55
X=857