In each of the following systems of equations determine whether the system has a unique solution, x+2y =0; 2x+ky -5 =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:
x+2y =0
2x+ky -5 =0

Answer 1

The given system of equation may be written as

The system of equation is of the form

Hence, the given system of equations has no solutions, when k =4.