Answer: the system of linear equations has no solutions.
Step-by-step explanation:
The given system of linear equations is expressed as
2x -3y =1 - - - - - - - - - - - - -1
-4x+6y=-4 - - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 2 and equation 2 by 1. It becomes
4x - 6y = 2
- 4x + 6y = - 4
Adding both equations, it becomes
4x - 4x - 6x + 6x = 2 - 4
0 = -2
Therefore, there is no solution to the system of linear equations