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