Question
If the system of linear equations $$ \begin{aligned}& 7x + 11y + \alpha z = 13 \\ & 5x + 4y + 7z = \beta \\ & 175x + 194y + 57z = 361\end{aligned} $$has infinitely many solutions, then $\alpha + \beta + 2$ is equal to :
If the system of linear equations $$ \begin{aligned}& 7x + 11y + \alpha z = 13 \\ & 5x + 4y + 7z = \beta \\ & 175x + 194y + 57z = 361\end{aligned} $$has infinitely many solutions, then $\alpha + \beta + 2$ is equal to :