Ответ:

[tex](14;25)[/tex]

Способ подстановки:

[tex]\displaystyle \left \{ {{2x-y=3} \atop {3x-2y=-8}} \right. \Leftrightarrow \left \{ {{-y=3-2x|*(-1)} \atop {3x-2y=-8}} \right. \Leftrightarrow \left \{ {{y=2x-3} \atop {3x-2y=-8}} \right.[/tex]

[tex]3x-2y=-8\\3x-2(2x-3)=-8\\3x-4x+6=-8\\-x+6=-8\\-x=-8-6\\-x=-14|*(-1)\\x=14[/tex]

[tex]y=2x-3\\y=2*14-3\\y=28-3\\y=25[/tex]

Способ сложения:

[tex]\displaystyle \left \{ {{2x-y=3} \atop {3x-2y=-8}} \right. \Leftrightarrow \left \{ {{2x-y=3|*(-2)} \atop {3x-2y=-8}} \right. \Leftrightarrow \left \{ {{-4x+2y=-6} \atop {3x-2y=-8}} \right.[/tex]

[tex](-4x+2y)+(3x-2y)=-6+(-8)\\-4x+2y+3x-2y=-14\\(2y-2y)+(-4x+3x)=-14\\-x=-14|*(-1)\\x=14[/tex]

[tex]-4x+2y=-6\\-4*14+2y=-6\\-56+2y=-6\\2y=-6+56\\2y=50|:2\\y=25[/tex]