[tex]\displaystyle \left \{ {{\frac{11+x}{2}=\frac{y+13}{3}+2 } \atop {5x=3y+8}} \right. \\\\\left \{ {{\frac{11+x}{2}=\frac{y+13}{3}+2 } \atop {x=\frac{3}{5}y+\frac{8}{5} }} \right.\\ \\\frac{11+\frac{3}{5}y+\frac{8}{5} }{2}=\frac{y+13}{3}+2\\ \\y=-1\\ \\x=\frac{3}{5}(-1)+\frac{8}{5}\\ \\x=1\\ (x,y)=(1,-1)[/tex]