Answer
No solution
(the solution set is $\emptyset$.)
Work Step by Step
Graph each line
(plot two points per line, such as the intercepts)
$x-y=2:\quad \left[\begin{array}{lll}
x=0 & ... & y=0\\
0-y=2 & & x-0=2 \\
y=-2 & & x=2\\
(0,-2) & & (2,0)
\end{array}\right]$
$3x-3y=-6:\quad \left[\begin{array}{lll}
x=0 & ... & y=0\\
0-3y=-6 & & 3x-0=-6\\
y=2 & & x=-2\\
(0,2) & & (-2,0)
\end{array}\right]$
There are no intersection points, the lines are parallel,
the solution set is $\emptyset$.
