Решите систему х+у=5 3х-у=3

Решите задачу:

$\left \{ {{x+y=5} \atop {3x-y=3}} \right.\\ \\\left \{ {{y=5-x} \atop {3x-y=3}} \right. \left \{ {{y=5-x} \atop {3x-(5-x)=3}} \right.\\ \\\left \{ {{y=5-x} \atop {3x-5+x=3}} \right. \\\left \{ {{y=5-x} \atop {3x+x=8}} \right. \\\left \{ {{y=5-x} \atop {4x=8}} \right. \\\left \{ {{y=5-x} \atop {x=2}} \right. \left \{ {{y=3} \atop {x=2}} \right.$