Answer: Last option
inverse property
Step-by-step explanation:
The property of the inverse sum says that if we have a number b and we add it with its negative -b then
[tex]b - b = 0[/tex]
In this case we have that:
[tex]x = a + bi[/tex]
and
[tex]y = -b - bi[/tex]
Note that
[tex]y = -x[/tex]
Therefore:
[tex]x + y = x -x= a + bi - a - bi = 0[/tex]
the answer is the last option