In each of the following systems of equations determine whether the system has a unique solution, 2x -ky +3 =0 ; 3x +2y -1 = 0

Question

In each of the following systems of equations determine whether the system has a unique solution, no n solution or infinitely many solutions. In case there is a unique solution, find it:
2x -ky +3 =0
3x +2y -1 = 0

Answer 1

The system of equation is of the form

For a unique solution, we must have 

So, the given system will have no solution. If 

 Hence, the given system of equations has no solutions, k = -4/3.