SOLUTION: |y-(-6)|=9 The answer is 3 or -15. I found 3 but cannot find -15.

Algebra ->  Absolute-value -> SOLUTION: |y-(-6)|=9 The answer is 3 or -15. I found 3 but cannot find -15.      Log On


   

Question 207137: |y-(-6)|=9
The answer is 3 or -15. I found 3 but cannot find -15.
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28y-%28-6%29%29=9 Start with the given equation.


abs%28y%2B6%29=9 Rewrite y-%28-6%29 as y%2B6


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)


y%2B6=-9 or y%2B6=9 Set the expression y%2B6 equal to the original value 9 and it's opposite -9.


Now lets focus on the first equation y%2B6=-9


y=-9-6Subtract 6 from both sides


y=-15 Combine like terms on the right side


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Now lets focus on the second equation y%2B6=9


y=9-6Subtract 6 from both sides


y=3 Combine like terms on the right side


So the solutions are: x=-15 or x=3

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y:
abs%28y-%28-6%29%29+=+9 First, simplify the expression within the absolute value bars.
abs%28y%2B6%29+=+9 Now remove the absolute value bars and write the two equations.
You get two equations because: abs%28a%29+=+a or abs%28-a%29+=+a
y%2B6+=+9 or y%2B6+=+-9 Subtract 6 from both sides in both equations.
highlight%28y+=+3%29 or highlight%28y+=+-15%29