Answer: Neither
======================================================
Explanation:
Solve the first equation for y
2x+3y = 1
3y = -2x+1
y = (-2x+1)/3
y = (-2/3)x + 1/3
The last equation shown above is in y = mx+b form
m = -2/3 = slope
b = 1/3 = y intercept
We see that the slope of y = 2x+3 is m = 2.
Since the two slopes (-2/3 and 2) are different, this means the lines aren't parallel. They aren't perpendicular either because the slopes don't multiply to -1.
