Answer
$\{(4,2)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
x=0 & & y=0 & | & x=0 & & y=0\\
0+y=6 & & x+0=6 & | & 0-y=2 & & x-0=2\\
y=6 & & x=6 & | & y=-2 & & x=2\\
(0,6) & & (6,0) & | & (0,-2) & & (2,0)
\end{array} $
Plot the pairs of points and the accompanying lines.
Determine intersection points, if any.
(see attached image)
There is an intersection point, the solution set is $\{(4,2)\}$
