SOLUTION: please help me write an absolute value equation that has 9 and 21 as its solution

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Question 1074239: please help me write an absolute value equation that has 9 and 21 as its solution
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Suppose the equation is



where B is non-negative.

Then we solve it as we would if we knew
the values of A and B:

x+A = B;   x+A = -B  

x = B-A;   x = -B-A

So the solutions are B-A and -B-A

If we choose B-A to be the 21 and -B-A to be the 9,
we have this system of equations



Solve that and get B = 6 and A = -15

So the equation



becomes:



Edwin
Answer by ikleyn(52813)   (Show Source): You can put this solution on YOUR website!
.
The correct equation is

|x - 15| = 6.


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