If the system of linear equations $7\mathrm{x}+11\mathrm{y}+\mathrm{\alpha z}=13,$$5\mathrm{x}+4\mathrm{y}+7\mathrm{z}=\mathrm{\beta },$$175\mathrm{x}+194\mathrm{y}+57\mathrm{z}=361$has infinitely many solutions, then $\mathrm{\alpha }+\mathrm{\beta }+2$ is equal to___________