Mathematics
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OpenStudy (anonymous):
Solveand check 2/1-x=3/1+x
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jimthompson5910 (jim_thompson5910):
the problem is
\[\Large \frac{2}{1-x} = \frac{3}{1+x}\]
right?
OpenStudy (anonymous):
correct
jimthompson5910 (jim_thompson5910):
\[\Large \frac{2}{1-x} = \frac{3}{1+x}\]
\[\Large 2(1+x) = 3(1-x)\]
\[\Large 2+2x = 3-3x\]
I'll let you finish.
Don't forget to check your answer.
OpenStudy (anonymous):
let me finish what do i do
jimthompson5910 (jim_thompson5910):
you solve for x by getting it to one side and everything else to the other side
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jimthompson5910 (jim_thompson5910):
so you want something like
x = ....
OpenStudy (anonymous):
ok I undestand that but how do i do that
jimthompson5910 (jim_thompson5910):
first move the -3x over by adding 3x to both sides
OpenStudy (anonymous):
5
jimthompson5910 (jim_thompson5910):
\[\Large 2+2x = 3-3x\]
\[\Large 2+2x+3x = 3-3x+3x\]
\[\Large 2+5x = 3\]
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jimthompson5910 (jim_thompson5910):
now you need to move that '2' on the left side over to the right
OpenStudy (anonymous):
2+3
jimthompson5910 (jim_thompson5910):
no, you need to undo the +2 on the left side by subtracting 2 from both sides
OpenStudy (anonymous):
0
jimthompson5910 (jim_thompson5910):
thats on the left, what about the right?
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OpenStudy (anonymous):
1
jimthompson5910 (jim_thompson5910):
so
5x = 1
which means
x = ???
OpenStudy (anonymous):
1
jimthompson5910 (jim_thompson5910):
5 times 1 = 1 ???
OpenStudy (anonymous):
=5
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jimthompson5910 (jim_thompson5910):
5 times ____ = 1
what goes in the blank
OpenStudy (anonymous):
i do not know t hrought it was 5
OpenStudy (anonymous):
4 maybe
jimthompson5910 (jim_thompson5910):
how do you undo multiplication?
OpenStudy (anonymous):
subtract
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OpenStudy (anonymous):
5-1=4
jimthompson5910 (jim_thompson5910):
subtraction is the opposite of addition, not multiplication
OpenStudy (anonymous):
division
jimthompson5910 (jim_thompson5910):
so you have to divide both sides by ____
OpenStudy (anonymous):
divide by 1
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jimthompson5910 (jim_thompson5910):
no, you want to move that 5 over
OpenStudy (anonymous):
ok I m total confused
jimthompson5910 (jim_thompson5910):
5x = 1
you want to move the 5 over
OpenStudy (anonymous):
so move it to =5
jimthompson5910 (jim_thompson5910):
no you have to divide both sides by 5
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OpenStudy (anonymous):
where what sdes
OpenStudy (anonymous):
would it be 5 divide by2 ad 5 divide by 3
jimthompson5910 (jim_thompson5910):
no just divide both sides by 5
OpenStudy (anonymous):
what side what o i divide
jimthompson5910 (jim_thompson5910):
both sides because you have to balance things out
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jimthompson5910 (jim_thompson5910):
5x divided by 5 becomes what?
OpenStudy (anonymous):
1
jimthompson5910 (jim_thompson5910):
just x
jimthompson5910 (jim_thompson5910):
5x divided by 5 becomes x
OpenStudy (anonymous):
x/1
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jimthompson5910 (jim_thompson5910):
yeah which is just x
OpenStudy (anonymous):
so it is x
jimthompson5910 (jim_thompson5910):
yes the left side becomes just x
jimthompson5910 (jim_thompson5910):
you must do the same to the right side
OpenStudy (anonymous):
what is the right side
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jimthompson5910 (jim_thompson5910):
5x = 1
x = ???
OpenStudy (anonymous):
4
OpenStudy (anonymous):
x=5/2
jimthompson5910 (jim_thompson5910):
that's the example on the page, not the answer to this question
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OpenStudy (anonymous):
so how do i get my answer
jimthompson5910 (jim_thompson5910):
these pages explain how to solve linear equations
OpenStudy (anonymous):
I looked at it and still not sure
jimthompson5910 (jim_thompson5910):
read it over a few times and try some of the examples on your own so you can get practice
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OpenStudy (anonymous):
I do not have a lot of timebut will try
jimthompson5910 (jim_thompson5910):
well you'll have to make time somehow
OpenStudy (anonymous):
whateverbye
jimthompson5910 (jim_thompson5910):
this is very important because you'll use it later down the road
and there's no need to be rude, I'm just trying to help
jimthompson5910 (jim_thompson5910):
this is NOT an answer service, we don't do your homework for you
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OpenStudy (anonymous):
but you are not helping
OpenStudy (anonymous):
I do not want you to do it for me ust help me
jimthompson5910 (jim_thompson5910):
I've done enough that hopefully you can see what to do next, I don't want to do it all for you
OpenStudy (anonymous):
I am not askig you to do it
jimthompson5910 (jim_thompson5910):
you see how to go from 2x = 5 to x = 5/2 right?
you divide both sides by 2
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jimthompson5910 (jim_thompson5910):
you're doing the same thing with 5x = 1
OpenStudy (anonymous):
0.4,2.5
jimthompson5910 (jim_thompson5910):
leave it as a fraction
jimthompson5910 (jim_thompson5910):
5/2 is just fine the way it is
but focus on 5x = 1
OpenStudy (anonymous):
0.4/2.5
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jimthompson5910 (jim_thompson5910):
no i don't know how you're getting that
OpenStudy (anonymous):
divided 2from 5
jimthompson5910 (jim_thompson5910):
ok don't worry about converting 5/2 into a decimal
OpenStudy (anonymous):
is it 5/2
jimthompson5910 (jim_thompson5910):
5/2 is the answer to 2x = 5 but not 5x = 1
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OpenStudy (anonymous):
would i be 5
jimthompson5910 (jim_thompson5910):
no replace x with 5
5x = 1
5 times 5 = 1 .... is that true??
OpenStudy (anonymous):
no
jimthompson5910 (jim_thompson5910):
so the answer isn't x = 5
OpenStudy (anonymous):
4
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jimthompson5910 (jim_thompson5910):
5x = 1
5 times 4 = 1 .... that's not true either
OpenStudy (anonymous):
5 divided 5 is 1
jimthompson5910 (jim_thompson5910):
good, so that's the left side
what about the right?
OpenStudy (anonymous):
what is the right side
jimthompson5910 (jim_thompson5910):
you divided the left side by 5
you have to do the same to the right side
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OpenStudy (anonymous):
5 divided by what
jimthompson5910 (jim_thompson5910):
you divided the left side 5x by 5 to get x
you have to do the same to the right side
jimthompson5910 (jim_thompson5910):
so the right side of 1 becomes _____
OpenStudy (anonymous):
5
OpenStudy (anonymous):
3 divided by 5
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jimthompson5910 (jim_thompson5910):
where are you getting 3?
OpenStudy (anonymous):
on the right side
jimthompson5910 (jim_thompson5910):
it's 5x = 1, not 5x = 3