The following reactions take place at \(1 \mathrm{bar}\) and \(1100 \mathrm{~K}\) :

\[ \begin{align*} & A+B \rightarrow C+D \tag{A}\\ & A+C \rightarrow 2 E \tag{B} \end{align*} \]

where \(K_{\mathrm{A}}=0.1429\) and \(K_{\mathrm{B}}=2.0\).

Determine the composition of the equilibrium mixture. Assume that the reaction mixture behaves like an ideal gas.