Answer
$\{(-1,-1)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
y=2x+1 & & & | & y=-2x-3 & & \\
x=0 & & x=2 & | & x=0 & & x=1\\
& & & & & & \\
y=0+1 & & y=2(2)+1 & | & y=0-3 & & y=-2-3 \\
y=1 & & y=5 & | & y=-3 & & y=-5\\
(0,1), & & (2,5) & | & (0,-3) & & (1,-5)\\
& & & & & &
\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 $\{(-1,-1)\}$
