[tex]\displaystyle 1)\left \{ {{2x+2y=12} \atop {3x-5y=5}} \right. \\\\\left \{ {{x=6-y} \atop {3x-5y=5}} \right. \\\\3(6-y)-5y=5\\\\y=\frac{13}{8}\\ \\x=6-\frac{13}{8}\\ \\x=\frac{35}{8}\\ \\(x,y)=(\frac{35}{8},\frac{13}{8})\\ \\2)\left \{ {{3x-2y=3} \atop {2x+3y=15}} \right. \\\\\left \{ {{x=1+\frac{2}{3}y } \atop {2x+3y=15}} \right. \\\\2(1+\frac{2}{3}y)=3y=15\\ \\y=3\\\\x=1+\frac{2}{3}*3\\ \\x=3\\(x,y)=(3,3)[/tex]