РЕШИТЕ СИСТЕМУ ПОЖАЛУЙСТА 2X=2-6 И X+2Y=2

Решите задачу:

$\left \{ {{2x=2-y} \atop {x+2y=2}} \right. \; \left \{ {{2x+y=2} \atop {x+2y=2}} \right. \; \left \{ {{2(2-2y)+y=2} \atop {x=2-2y}} \right. \; \left \{ {{4-4y+y=2} \atop {x=2-2y}} \right. \; \left \{ {{3y=2} \atop {x=2-2y}} \right. \\\\ \left \{ {{y=\frac{2}{3}} \atop {x=2-2\cdot \frac{2}{3}}} \right. \; \left \{ {{y=\frac{2}{3}} \atop {x=\frac{2}{3}}} \right.$