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Which property of addition is shown below?
If x= a + bi and y=-a-bi, x + y = 0.
O commutative property
identity property
associative property
inverse property

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luisejr77

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

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