$1.$ Solve the Boolean Algebra system: i$)$x$+$ xy$+$ y$\text{'}=0$ ii$)$y $+$ x$$y $+$ x $=1,$ where x$,$ y are the unknowns and a is a parameter. $2.$Solve the Boolean Algebra system: i$)$ax$+$ y$=1$ ii$)$ay $+$ xy $=1,$ where x$,$ y are the unknowns and a is a parameter.