To start, let's try to get all the x terms on one side and all the constants on the other. Can you do that for me?
OpenStudy (freeg13):
aren't them all ready on one side?
OpenStudy (anonymous):
The x terms are on the left, but the 6 needs to go to the right to join the 18.
OpenStudy (freeg13):
oh so I subtract 6 on both sides?
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OpenStudy (anonymous):
Correct.
OpenStudy (anonymous):
You will have:
\[-(2/7)x + (/17)x = 18 - 6\]
OpenStudy (anonymous):
Sorry, that's a 1/7x.
OpenStudy (anonymous):
Are you following?
OpenStudy (freeg13):
ya
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OpenStudy (anonymous):
Let's evaluate both sides. 18-6 is 12. Then on the left we have
\[-(2/7)x + (1/7)x\]
OpenStudy (anonymous):
So now evaluate that left side.
OpenStudy (freeg13):
hello @IParke
OpenStudy (anonymous):
Did you get an answer?
OpenStudy (freeg13):
am confused on this part
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OpenStudy (anonymous):
Okay, no problem.
You need to add (-2/7) + (1/7).
OpenStudy (freeg13):
1/7 ?
OpenStudy (anonymous):
That becomes your coefficient of x. The coefficient is the constant value in front of a variable.
OpenStudy (anonymous):
In this case, it is -1/7
OpenStudy (anonymous):
Do you see why?
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OpenStudy (freeg13):
yes
OpenStudy (anonymous):
Okay. Great.
So now you have:
\[-1/7x = 12\]
OpenStudy (anonymous):
Our goal now is to get rid of that coefficient, the -1/7, in front of the x. What should we do to both sides to get rid of the -1/7?
OpenStudy (freeg13):
add 1/7 to both sides
OpenStudy (anonymous):
We should divide both sides by -1/7.
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OpenStudy (anonymous):
The reason for that is because we want to get rid of the number multiplying x. If we divide that number by itself, we get 1. -1/7 divided by -1/7 is 1. 1 times X is X.
OpenStudy (anonymous):
Is this clear?
OpenStudy (freeg13):
yes i with ya
OpenStudy (anonymous):
So go ahead and divide both sides by -1/7 to get your final answer.
X=?
OpenStudy (freeg13):
1.71428571429
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OpenStudy (freeg13):
@IParke
OpenStudy (anonymous):
12/(-1/7) = -12/(1/7) = -(12*7)/1 = -84
OpenStudy (freeg13):
so x =-84
OpenStudy (freeg13):
thanks @IParke
OpenStudy (anonymous):
Correct. No problem. If this still doesn't make sense to you, please let me explain.
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