SOLUTION: So I have to do a problem right, they gave an example but I don't understand how they got their answer. I'm in geometry so they expect me to know it already. Here is the example pr
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Question 215467: So I have to do a problem right, they gave an example but I don't understand how they got their answer. I'm in geometry so they expect me to know it already. Here is the example problem:
3n+3=2n+6
3n=2n+3
n=3
How did they get n=3??
I don't get it. Found 3 solutions by stanbon, vleith, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 3n+3=2n+6
---
Subtract 2n from both sides to get:
n + 3 = 6
Subtract 3 from both sides to get:
n = 3
===================
Cheers,
Stan H.
You're in geometry, but this is algebra.
Do you remember any algebra?
n stands for an unknown number
3n + 3 = 2n + 6
There are 2 terms on the left, 3n and 3
3n is a "letter term" and 3 is a
"plain number" term.
There are two terms on the right, 2n and 6
2n is a "letter term" and 3 is a "plain number"
term.
We want ONLY "letter terms" on the left
and ONLY "plain number" terms on the right.
We get rid of the number term 3 on the left
by subtracting 3 from both sides like this:
3n + 3 = 2n + 6
- 3 - 3
---------------
3n + 0 = 2n + 3
We can eliminate the "+ 0" and just have
3n = 2n + 3
Now we get rid of the letter term 2n on the right
side by subtracting 2n from both sides like this:
3n = 2n + 3
-2n -2n
------------
1n = 0 + 3
We can eliminate the 0 and have
1n = 3
Now we can eliminate the 1 because there is
no difference between n and 1n. So we can
just write
n = 3
This is algebra you're doing,
not geometry, but there is algebra in
geometry.
Edwin