Find the value of k for which each of the following system of equations have no solution :

$$\begin{gathered} kx-5y=2 \\ 6x+2y=7 \end{gathered}$$

GIVEN:

To find: To determine for what value of k the system of equation has no solution 

We know that the system of equations

For no solution

Here,

Hence for the system of equation have infinitely many solutions.