SOLUTION: solve the absolute value equation. express solution in SET NOTATION {{{abs(3y+1)=abs(2y-7)}}}

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Question 334868: solve the absolute value equation. express solution in SET NOTATION
abs%283y%2B1%29=abs%282y-7%29
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
abs%283y%2B1%29=abs%282y-7%29
You need to solve two equations.
The positive solution: 3y%2B1=2y-7
and the negative solution: 3y%2B1=-%282y-7%29
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Positive solution:
y=-8
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Negative solution:
5y=6
y=6%2F5
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Graphical verification
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