SOLUTION: |4y-7|-2=0

Algebra.Com
Question 1103639: |4y-7|-2=0
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Solve first for the absolute value as a variable.



Now solve for the two conditions.

.

First condition



Second condtion




Solution:



Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
 |4y-7| - 2 = 0

is equivalent to

 |4y-7| = 2.


This equation deploys in two equations:


1)  4y - 7 = 2  ====>  4y = 2 + 7 = 9  ====>  y = .


2)  4y - 7 = -2 ====>  4y = -2 + 7 = 5  ====>  y = .


Answer.  There are TWO solutions:  y = ,  y = .


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