How many ordered pairs $( x , y , z , w )$ of non-negative integers satisfy the system of equations
$$\left\{ \begin{array} { l }
x + y + z + 3 w = 14 \\
x + y + z + w = 10
\end{array} \right.$$
? [4 points]\\
(1) 40\\
(2) 45\\
(3) 50\\
(4) 55\\
(5) 60