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OpenStudy (cenaida):
Solve: |2n - 3| = 5
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OpenStudy (campbell_st):
there are 2 equations to solve
2n - 3 = 5 and 2n - 3 = -5
hope this helps
OpenStudy (cenaida):
so which one of these can it be?
A.
{-1, 4}
B.
{1, 4}
C.
{-1, 1}
D.
{1, -4}
OpenStudy (whpalmer4):
Well, let's solve the equations.
\[2n - 3 = 5\]
If you want to get \(n\) all alone on the left, what should you do first?
OpenStudy (cenaida):
add 2 on both sides?
OpenStudy (anonymous):
3*
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OpenStudy (whpalmer4):
Adding 3 to both sides would be a good start:
\[2n-3+3 = 5 +3 \]\[2n=8\]Now what?
OpenStudy (cenaida):
divide 2 with 8?
OpenStudy (whpalmer4):
Divide both sides by 2...
OpenStudy (cenaida):
yes then it will be n=4?
OpenStudy (whpalmer4):
Yes. So that's half of the problem done. Now we need to solve the other one:
\[2n -3 = -5\]How would you go about it?
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OpenStudy (cenaida):
add -3 on both sides
OpenStudy (anonymous):
1ST 1 .2n-3=5
or,2n=5+3
or,2n=8
so,n=4 easy
then 2n-3=-5
or,2n=-5+3
or,2n=-2
so.n=-1 ans
OpenStudy (whpalmer4):
I would add 3 to both sides:
\[2n - 3 + 3 = -5 + 3\]\[2n = -2\]
\[n =\]
OpenStudy (cenaida):
Ok Aaron thanks!
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