MathNet 2010 — Part 01 Question 178

what is the sum? If $x + |x| + y = 5$ and $x + |y| - y = 6$, what is the value of the sum $x + y$?
(a) $-1$
(b) $11$
(c) $\frac{9}{5}$
(d) $1$
(e) $-11$