Straight Lines And Pair Of Straight Lines

Let \(\mathrm{A}\) be the point of intersection of the lines \(3 x+2 y=14,5 x-y=6\) and \(\mathrm{B}\) be the point of intersection of the lines \(4 x+3 y=8,6 x+y=5\). The distance of the point \(P(5,-2)\) from the line \(\mathrm{AB}\) is