3x - 2y = 7, 2y - 3x = -7.

The given system of equations is:
1) 3x - 2y = 7
2) 2y - 3x = -7
Adding equation (1) and (2):
(3x - 2y) + (2y - 3x) = 7 + (-7)
0 = 0
This indicates that the two equations are dependent, meaning they represent the same line. Therefore, there are infinitely many solutions.
We can express the solution set in terms of one variable. From equation (1), we can solve for y:
2y = 3x - 7
y = (3/2)x - 7/2
Thus, the solution is any pair (x, y) that satisfies y = (3/2)x - 7/2.