Відповідь:

y=3;x=1

Пояснення:

[tex]\left \{ {{5x-y=2} \atop {2x+3y=11}} \right.[/tex]

[tex]\left \{ {{5x-2=y} \atop {2x+3y=11}} \right.[/tex]

[tex]\left \{ {{5x-2=y} \atop {2x+3(5x-2)=11}} \right.[/tex]

[tex]\left \{ {{5x-2=y} \atop {2x+15x-6=11}} \right.[/tex]

[tex]\left \{ {{5x-2=y} \atop {17x=17}} \right.[/tex]

[tex]\left \{ {{5x-2=y} \atop {x=1}} \right.[/tex]

[tex]\left \{ {{y=3} \atop {x=1}} \right.[/tex]