SOLUTION: i am confused on how to get the answers...do they have more than one answer each?

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Question 72536This question is from textbook Prentice Hall Algebra
: i am confused on how to get the answers...do they have more than one answer each? This question is from textbook Prentice Hall Algebra

Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!

i am confused on how to get the answers...
do they have more than one answer each?


If given 

|Ax + B| = C where C is positive,
If C is negative there is no solution.
 
you ALWAYS make two equations

Ax + B = C and Ax + B = -C

Solve both of them for x. They are both
answers.  

Example

|2x - 5| = 9

Make these two equations:

2x - 5 = 9 and 2x - 5 = -9

Solve them both, get

     x = 7 and  x = -2

------------------------

If you have 

|Ax + B| = |Cx + D|

Make two equations

Ax + B = Cx + D and Ax + B = -(Cx + D)

and solve them. If you get two answers then they
are both solutions. But if you get a false
numerical equation like 2=3, then you only have
the one solution.

Edwin

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