Answer
No solutions.
Work Step by Step
To solve a pair of equations in two variables graphically, first put each equation in function form, $y=f(x)$.
1. Graph the equations on a common screen.
2. Find the points of intersection of the graphs.
The solutions are the x- and y-coordinates of the points of intersection.
---------
$\begin{array}{ll}
2x-3y=12\ \ /-2x & -x+\frac{3}{2}y=4\ \ /\times 2\\
-3y=12-2x\ \ /\div(-3) & -2x+3y=8\ \ /+2x\\
y=\frac{2}{3}x-4 & 3y=8+2x\ \ /\div 3\\
& y=\frac{2}{3}x+\frac{8}{3}
\end{array}$
1. Graphed with desmos.com online calculator (see below)
2. There are no intersection points,
the lines are parallel.
No solutions.