Two solids dissociate as follows

Two solids dissociate as follows

$\mathrm{A}(\mathrm{s}) \rightleftharpoons \mathrm{B}(\mathrm{g})+\mathrm{C}(\mathrm{g}) ; \mathrm{K}_{\mathrm{p}_{1}}=\mathrm{x} \mathrm{atm}^{2}$

$\mathrm{D}(\mathrm{s}) \rightleftharpoons \mathrm{C}(\mathrm{g})+\mathrm{E}(\mathrm{g}) ; \mathrm{K}_{\mathrm{p}_{2}}=\mathrm{y} a \mathrm{~atm}^{2}$

The total pressure when both the solids dissociate simultaneously is :-