SOLUTION: I would be sooo thankful for your help!!!! After successfully solving an absolute -value problem Ariel spilled heath bar crunch all over the problem. All that can be read now is

Algebra ->  Equations -> SOLUTION: I would be sooo thankful for your help!!!! After successfully solving an absolute -value problem Ariel spilled heath bar crunch all over the problem. All that can be read now is      Log On


   

Question 985206: I would be sooo thankful for your help!!!!
After successfully solving an absolute -value problem Ariel spilled heath bar crunch all over the problem. All that can be read now is "The distance between x and (mess of ice cream) is (another mess of ice cream)." Given that Ariel's answers are x=-3 and x=7, reconstruct the missing parts of the problem.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
z%3E0
sign of y is uncertain.

abs%28x-y%29=z


CASE x-y%3E=0
x-y=z
x=z%2By
trying x=7
7=z%2By

CASE x-y%3C0
-x%2By=z
-x=z-y
x=y-z
trying x=-3
-3=y-z
Use these results as a system of equations:
7=z%2By...............eq.1
-3=y-z..............eq.2
-----------------------------------------add them
7-3=cross%28z%29%2By%2By-cross%28z%29
4=2y
2=y
and
7=z%2B2...............eq.1
7-2=z
z=5
so, your equation is:
abs%28x-y%29=z
abs%28x-2%29=5