If x+|x|+y=5 and x+|y|-y=6 what is x+y=?	Choose the correct option:
A) 1
B) -1
C) 3
D) 12
E) 13
If x&lt;0 and y&lt;0, then we'll have x-x+y=7 and x-y-y=6. From the first equation y=7, so we can discard this case since y is not less than 0.   If x&gt;=0 and y&lt;0, then we'll have x+x+y=7 and x-y-y=6. Solving gives x=4&gt;0 and y=-1&lt;0 --&gt; x+y=3. Since in PS questions only one answer choice can be correct, then the answer is C (so, we can stop here and not even consider other two cases).   Answer: C.   Adding both eqn we get 2x +IxI+IyI = 13   Now considering X &lt;0 and y&gt;0   2x-x +y = 13   we get x+y =12   Hence answer should be 12
<result>D</result>
If x+|x|+y=5 and x+|y|-y=6 what is x+y=?