\(\left\{\begin{array}{ccc}11x-13y=89&/+13y\\-11x+13y=107&/\cdot(-1)\end{array}\right\\\\\left\{\begin{array}{ccc}11x=13y+89\\11x-13y=-107\end{array}\right\\\\substitute:\\\\(13y+89)-13y=107\\13y-13y+89=107\\89=107-FLASE\\\\Answer:No\ solution\ (x;\ y\in\O)\)