Answer
$\{(2,4)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
y=2x & & & | & y=-x+6 & & \\
x=0 & & x=2 & | & x=0 & & x=1\\
& & & & & & \\
y=0 & & y=2(2) & | & y=0+6 & & y=-1+6 \\
& & y=4 & | & y=6 & & y=5\\
(0,0), & & (2,4) & | & (0,6) & & (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 $\{(2,4)\}$
