[latex] \left \{ {{2x+y=4} \atop {2y-x=3}} \right. [/latex]

[latex]\left\{\begin{matrix} 2x &+ &y &= & 4\\ 2y &- &x &= &3 \end{matrix}\right.\\\\ y=4-2x\\ 2\cdot(4-2x)-x=3\\ 8-4x-x=3\\ -5x=-5\\ x=1\\\\ y=4-2\cdot1\\y=2[/latex] Ответ: [latex](1;2)[/latex]