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