In each of the following systems of equations determine whether the system has a unique solution, 2x -3y =7 (k+2) x-(2k+1); y-3(2k-1)

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 -3y =7

(k+2) x-(2k+1) y-3(2k-1)

Answer 1

The system of equation is of the form

For a unique solution, we must have

Hence, the given system of equations will have infinitely many solutions, if k =4