Answer
$\{(2,0)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
5x-y=10 & & & | & 2x+y=4 & & \\
x=0 & & y=0 & | & x=0 & & y=0\\
& & & & & & \\
5x-y=10 & & 5x-0=10 & | & 0+y=4 & & 2x+0=4 \\
-y=10 & & x=2 & | & y=4 & & x=2\\
(0,-10), & & (2,0) & | & (0,4) & & (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 $\{(2,0)\}$
