3.3.2 Line and plane in space

Problem: Find intersection points of the surface \( \Gamma x y+x^{2}-y^{2}=z \) and the straight line \[ \frac{x+\Gamma}{-1}=\frac{y-\mathrm{H}}{1}=\frac{z+\mathrm{H}}{-2} \text {, where } \Gamma=\mathrm{H}=2 \text {. } \]