Verified answer

[tex]\displaystyle \left \{ {{11x-13y=-35} \atop {1-17x+2y=36}} \right. \\\\\left \{ {{11x-13y=-35} \atop {x=-\frac{35}{17}+\frac{2}{17}y }} \right. \\\\11(-\frac{35}{17}+\frac{2}{17}y)-13y=-35\\ \\y=\frac{210}{199}\\ \\x=-\frac{35}{17}+\frac{2}{17}*\frac{210}{199}\\ \\x=-\frac{385}{199}\\ \\(x,y)=(-\frac{385}{199},\frac{210}{199})[/tex]