Respuesta :

Answer:

They have opposite signs. if x=16 then y should be -16 for their sum to be zero.

Answer:

When x is 16, then y must be -16.

When x is -16 then y must be 16.

Step-by-step explanation:

We are asked to find the value of x and y for the given condition.

[tex]|x|=16[/tex]

[tex]|y|=16[/tex]

By the definition of absolute value [tex]|u|=a[/tex], then [tex]u=-a\text{ or }u=a[/tex], we will get:

[tex]x=-16\text{ or }x=16[/tex]

[tex]y=-16\text{ or }y=16[/tex]

We are also told that when x and y are combined they equal zero.

This means when x is 16, then y must be -16 and when x is -16 then y must be 16.

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