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OpenStudy (anonymous):
Solve |2y - 2| = y
There should be a solution set. Solve |2y - 2| = y
There should be a solution set. @Mathematics
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OpenStudy (anonymous):
positive case 2y -2 =y
y=2
negative case
-2y + 2 = y
3y=-2
y = -2/3
ss = 2, -2/3
myininaya (myininaya):
y can't be negative
|something| can't have a negative output
myininaya (myininaya):
just y=2 is solution
OpenStudy (anonymous):
oops ... forgot to check
OpenStudy (anonymous):
on no myininaya!
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OpenStudy (anonymous):
y cannot be negative, but
\[2y-2\] can be negative in which case
\[|2y-2|=2-2y\]
OpenStudy (anonymous):
so you really do get both solutions
\[y=2,y=\frac{2}{3}\]
OpenStudy (anonymous):
and you can check them both to see that they work!
myininaya (myininaya):
i was just checking his solutions i did not actually solve it
OpenStudy (anonymous):
next you will be saying it is a typo!
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myininaya (myininaya):
no for real i didn't solve it lol
OpenStudy (anonymous):
that is what i say anyway...
myininaya (myininaya):
you are so evil
OpenStudy (anonymous):
thank you
myininaya (myininaya):
lol your welcome
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OpenStudy (anonymous):
now that i look carefully the initial answer is wrong in any case.
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