[tex]\left \{ {{\frac{x-y}{3}- \frac{2x+y}{2}=5 |*6 } \atop {2x+5y=10}} \right. \\\\\left \{ 2x-2y - 6x-3y=30 } \atop {2x+5y=10}} \right. \\\\\left \{ -5y-4x=30 } \atop {2x+5y=10}} \right. \\\\+------\\-2x= 40 \\-x = 20 \\x = -20 \\2x+5y = 10\\-40 + 5y = 10 \\5y = 50 \\y = 10 \\\left \{ {{y=10} \atop {x=-20}} \right.[/tex]