SOLUTION: PLEASE HELP ME SOLVE MY TWO QUESTIONS. Thank you so much! |2(p-4)-5|=23 2+4|5x-7|=46

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Question 898942: PLEASE HELP ME SOLVE MY TWO QUESTIONS. Thank you so much!
|2(p-4)-5|=23
2+4|5x-7|=46
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
This is what to do, as an explanation, but not the actual solution steps.

The second equation: Solve for the absolute value as its own variable, and then solve for each of the two cases and .

The first equation already equates an absolute value to a positive real number.
Solve for each of the two cases, and .
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

PLEASE HELP ME SOLVE MY TWO QUESTIONS. Thank you so much!
|2(p-4)-5|=23
2+4|5x-7|=46










Either:

2p - 13 = 23                     OR                   2p - 13 = - 23

     2p = 23 + 13                OR                        2p = - 23 + 13

     2p = 36                     OR                        2p = - 10

      ____           OR                           _____















Either:

5x - 7 = 11                      OR                    5x - 7 = - 11

    5x = 11 + 7                  OR                        5x = - 11 + 7

    5x = 18                      OR                        5x = - 4

     ____           OR                        

You can do the check!! 



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

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