Equation of two diameters of a circle are $2\mathrm{x}-3\mathrm{y}=5$ and $3\mathrm{x}-4\mathrm{y}=7.$ The line joining the points $\left(-\frac{22}{7},-4\right)\text{ and }\left(-\frac{1}{7},3\right)$  intersects the circle at only one point $\mathrm{P}(\mathrm{\alpha },\mathrm{\beta })$. Then $17 \mathrm{\beta }-\mathrm{\alpha }$ is equal to