If the system of equations $3x+y=1$ and $(2k-1)x+(k-1)y=2k+1$ is inconsistent, then find $k$.

If $am\ne bl$, then the system of equations

$ax+by=c$

$lx+my=n$

The value of $k$ for which the system of equations has no solution is:

$x+2y=5$

$3x+ky+15=0$