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

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

abs%284y-7%29=2

Now solve for the two conditions.

system%284y-7=2%2Cor%2C-4y%2B7=2%29.

First condition
4y=2%2B7
4y=9
y=9%2F4
Second condtion
-4y=2-7
4y=7-2
y=5%2F4

Solution: system%28y=9%2F4%2COR%2Cy=5%2F4%29



Answer by ikleyn(52780) About Me  (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 = 9%2F4.


2)  4y - 7 = -2 ====>  4y = -2 + 7 = 5  ====>  y = 5%2F4.


Answer.  There are TWO solutions:  y = 9%2F4,  y = 5%2F4.