SOLUTION: |2y-3|=29 my questions is, in this equations when taking out the number in the absolute value bar should i live the equation as 2y-3 or 2y+3...or do u only make it positive when t

Algebra ->  Absolute-value -> SOLUTION: |2y-3|=29 my questions is, in this equations when taking out the number in the absolute value bar should i live the equation as 2y-3 or 2y+3...or do u only make it positive when t      Log On


   

Question 12826: |2y-3|=29 my questions is, in this equations when taking out the number in the absolute value bar should i live the equation as 2y-3 or 2y+3...or do u only make it positive when there is only one number for example |-2y| to 2y?
Answer by AdolphousC(70) About Me  (Show Source):
You can put this solution on YOUR website!
You NEVER change an equation INSIDE the absolute value bars, the absolute value means that what ever is INSIDE can EITHER be positive or Negative, so really you can do this two ways.


Option 1: Better, because inequalities work the same way
Since absolute value is always positive you know that (2y-3) can be 29 but you also know that the NEGATIVE OF THE WHOLE EXPRESSION -(2y-3) can be 29.


So when you remove the abs value bars you'd have
+2y-3+=+29+ AND +-%282y-3%29+=+29+
Don't forget to distribute the -1 in the second equation so you'd get
-2y + 3 = 29