Answer
$\{(3,0)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
2x-3y=6 & & & | & 4x+3y=12 & & \\
x=0 & & y=0 & | & x=0 & & y=0\\
& & & & & & \\
-3y=6 & & 2x-0=6 & | & 0+3y=12 & & 4x+0=12 \\
y=-2 & & x=3 & | & y=4 & & x=3\\
(0,-2), & & (3,0) & | & (0,4) & & (3,0)\\
& & & & & &
\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 $\{(3,0)\}$
