Question 851553
1.{{{3x+y=6}}}
2.{{{y+x=5-2x}}}
From eq. 1,
{{{y=6-3x}}}
From eq. 2,
{{{y=5-3x}}}
Set them equal to each other since they both equal {{{y}}},
{{{6-3x=5-3x}}}
{{{6=5}}}
False.
So this system is inconsistent. 
The lines are parallel and never meet, hence there is no solution.