[tex]2\sqrt{3} x- 3\sqrt{2}y=12\\4\sqrt{3}x + \sqrt{2}y=10 => 12\sqrt{3}x + 3\sqrt{2}y=30\\ 2\sqrt{3}x- 3\sqrt{2}y+12\sqrt{3}x + 3\sqrt{2}y=12+30\\14\sqrt{3}x=42\\\sqrt{3}x=3\\x=\sqrt{3}\\2\sqrt{3}*\sqrt{3}-3\sqrt{2}y=12\\6-3\sqrt{2}y=12\\-3\sqrt{2}y=12-6=6\\-\sqrt{2}y=2\\y=-\sqrt{2}[/tex]
