Answer
There is no real solution to the system of equations.
It is inconsistent.
On the graph, the lines don't intersect.
Work Step by Step
1) $2x+3y=2$
2) $-x-\frac{3y}{2}=-\frac{1}{2}$
If we multiply the second equation by 2, eliminating the fractions, we get:
2) $2\times(-x-\frac{3y}{2})=2\times(-\frac{1}{2})$
2) $-2x-3y=-1$
In order to solve the system of equations, we can now add equation 1) to equation 2):
0=1
This means that the system of equations is inconsistent; there is no real solution to it.
Graphing both equations, we can observe that they don't intersect. See the picture attached.
The function between x and y can be given by solving any of the two equations:
1) $2x-3y=1$
$2x=1+3y$
$x=\frac{1+3y}{2}$
By graphing both equations we expect to have only one line on the graph. See the picture attached.