Question

Which of the following is a solution of y |x|-6. (-5,1) (-1,-5) (5,-1)

Answer 1

Assuming you forgot the equal sign

y=|x|-6

test each
(x,y)
(-5,1)
1=|-5|-6
1=5-6
1=-1
fasle

(-1,-5)
-5=|-1|-6
-5=1-6
-5=-5
true

(5,-1)
-1=|5|-6
-1=5-6
-1=-1

the answer is
(-1,-5) and (5,-1)

Answer 2

Answer with Step-by-step explanation:

We have to determine the solution of:

y= |x|-6

when x= -5, |x|=5

y= 5-6 = -1

Hence, (-5,1) is not the solution

when x= -1, |x|=1

y= 1-6 = -5

Hence, (-1,-5) is a solution

when x= 5, |x|=5

y= 5-6 = -1

Hence, (5, -1) is a solution

Correct options are:

(-1,-5) and (5,-1)