Let A(-2,-1), B(1,0), C(α, β) and D(γ, δ) be the vertices of a parallelogram A B C D. If the point C lies on 2 x-y=5 and the point D lies on 3 x-2…

Let $\displaystyle A(-2,-1), B(1,0), C(\alpha, \beta)$ and $\displaystyle D(\gamma, \delta)$ be the vertices of a parallelogram $\displaystyle A B C D$. If the point $\displaystyle C$ lies on $\displaystyle 2 x-y=5$ and the point $\displaystyle D$ lies on $\displaystyle 3 x-2 y=6$, then the value of $\displaystyle |\alpha+\beta+\gamma+\delta|$ is equal to $\displaystyle \_\_\_\_$.