Answer
The system of equations is inconsistent and has no solutions.
Work Step by Step
The systems of equations are written as:
$y=-x+3 ~~~(1) \\2x+2y=1 ~~~(2)$
Substitute equation -(1) into equation-2 to get:
$2x+2(-x+3)=1\\ 2x-2x=1-3 \\ 0=-2 $
Since 0 never equals -2, the system of equations is inconsistent and has no solutions.