Answer:
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
Answer:
[tex]x=-16\,,\,y=16\,\,or\,\,x=16\,,\,y=-16[/tex]
Step-by-step explanation:
Given: [tex]\left | x \right |=16\,,\,\left | y \right |=16[/tex]
To find: values of x and y such that when they are combined, we get 0.
Solution:
We know that for [tex]\left | x \right |=y[/tex], we have [tex]x=\pm y[/tex]
[tex]\left | x \right |=16\Rightarrow x=\pm 16[/tex] as [tex]\left | 16 \right |=16\,,\,\left | -16 \right |=16[/tex]
[tex]\left | y \right |=16\Rightarrow y=\pm 16[/tex] as [tex]\left | 16 \right |=16\,,\,\left | -16 \right |=16[/tex]
Case 1:
Take [tex]x=16\,,\,y=-16[/tex]
[tex]x+y=16+(-16)=16-16=0[/tex]
Case 2:
[tex]x=-16\,,\,y=16[/tex]
[tex]x+y=\left ( -16 \right )+16=-16+16=0[/tex]
Therefore, for [tex]x=-16\,,\,y=16\,\,or\,\,x=16\,,\,y=-16[/tex], combined value of x and y is 0.
