Answer
No solution
(the solution set is $\emptyset$.)
Work Step by Step
Graph each line
(plot two points per line, such as the intercepts)
$x+y=5:\quad \left[\begin{array}{lll}
x=0 & ... & y=0\\
0+y=5 & & x+0=5\\
y=5 & & x=5\\
(0,5) & & (5,0)
\end{array}\right]$
$2x+2y=12:\quad \left[\begin{array}{lll}
x=0 & ... & y=0\\
0+2y=12 & & 2x+0=12\\
y=6 & & x=6\\
(0,6) & & (6,0)
\end{array}\right]$
There are no intersection points, the lines are parallel,
the solution set is $\emptyset$.
