What values do x and y have if |x| =16 and |y| =16, and when x and y are combined they equal 0

x = 16, y = -16

or

x = -16, y = 16

Step-by-step explanation:

|x| =16 ---> x = -16 or x = 16

|y| =16 ---> y = -16 or y = 16

it is given that x + y =0,

If x = -16, then

-16 + y = 0 or y = 16

hence x = -16 and y = 16 is one possible combination for the values of x and y

If x = 16, then

16 + y = 0 or y = -16

hence x = 16 and y = -16 is another possible combination for the values of x and y

Step-by-step explanation:

Given:

To find: values of x and y such that when they are combined, we get 0.

Solution:

We know that for , we have

as

as

Case 1:

Take

Case 2:

Therefore, for , combined value of  x and y is 0.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.