Решите методом сложения
Х-3У=-3
5Х-2У=11

[tex] \left \{ {{x-3y=-3|*5} \atop {5x-2y=11}} \right. \\ \left \{ {{5x-15y=-15} \atop {5x-2y=11}} \right. \\ -13y=-26\\ y=-26:(-13)\\ y=2[/tex]
[tex] \left \{ {{x-3y=-3|*2} \atop {5x-2y=11|*3}} \right. \\ \left \{ {{2x-6y=-6} \atop {15x-6y=33}} \right. \\ -13x=-39\\ x=-39:(-13)\\ x=3[/tex]
Ответ: x=3, y=2.

x-3y=-3| *-5
5x-2y=11
-5x+15y=15
5x-2y=11
13y=26
y=26:13
y=2
x-3y=-3
x=3y-3
x=3*2-3
x=3