For the system of equations in $x, y$:
$$\left( \begin{array} { c c } a + 1 & a \\ 1 & 1 \end{array} \right) \binom{x}{y} = \binom{-4}{1}$$
the solution satisfies the equation $x + 2y - 4a = 0$. What is the value of the constant $a$?\\
(1) 1\\
(2) 2\\
(3) 3\\
(4) 4\\
(5) 5