Question 344374
{{{y + x = 2}}}
1.{{{x+y=2}}}
.
.
.
{{{y + 1 = -x}}}
2.{{{x+y=-1}}}
Since both equations have the same left hand side and a different right hand side, there is no solution. 
The system is inconsistent.
The two lines are parallel and never meet, hence no solution.