In each of the following systems of equations determine whether the system has a unique solution, 2x +ky -11=0; 5x -7y-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:

2x +ky -11=0

5x -7y-5 =0

Answer 1

The given system of equation is

The system of equation is of the form

Hence, the given system of equation will have no solution, if k = -14/5.