Mathematics
8 Online
OpenStudy (anonymous):
How do I simplify 2m/m-9 + 18/9-m?
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OpenStudy (anonymous):
2m 18
----- + ------
m - 9 -(m-9)
OpenStudy (eyust707):
first muliply the right side by -1/-1
OpenStudy (eyust707):
then add
OpenStudy (anonymous):
really?
OpenStudy (eyust707):
factor out a 2
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OpenStudy (anonymous):
'cause my teacher said:
9-m = --9 +- m
= - (-9 + m)
= - (m-9)
OpenStudy (eyust707):
yeah cause we want a common denominator
OpenStudy (eyust707):
ohh i see
OpenStudy (eyust707):
the second post was your attempt?
OpenStudy (eyust707):
yea so you got it
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OpenStudy (anonymous):
no I don't// cos I don't know what to do after..
OpenStudy (eyust707):
2m 18 (-1)
----- + ------ * ----
m - 9 -(m-9) (-1)
OpenStudy (eyust707):
that bring the negitive up top
OpenStudy (anonymous):
I only got to
2m 18
---- + ----
m-9 -(m-9)
OpenStudy (anonymous):
OHHH.
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OpenStudy (anonymous):
why did you multiply by -1?
OpenStudy (eyust707):
which is also the same as
2m 18
----- - ------
m - 9 (m-9)
OpenStudy (eyust707):
cause you can mupliply any thing by -1/-1
OpenStudy (eyust707):
without changing it
OpenStudy (eyust707):
a/a = 1
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OpenStudy (eyust707):
i basically just muplitplied it by -1/-1 = 1
OpenStudy (eyust707):
from there you have a common denominator
OpenStudy (eyust707):
and can simplify
OpenStudy (anonymous):
ohhhh, i see. Thank you!
OpenStudy (eyust707):
no problem =P
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OpenStudy (phi):
the final answer is 2
OpenStudy (anonymous):
^ why is it 2?
OpenStudy (phi):
how far did you get?
OpenStudy (anonymous):
because I have
2m-18
------
m-9
OpenStudy (phi):
you can factor 2 out of each term in the numerator to get 2(m-9)
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OpenStudy (phi):
and (m-9)/(m-9) =1
OpenStudy (anonymous):
what do you mean factor 2 out of each term?
OpenStudy (phi):
you know 2x+2y= 2(x+y), for example?
OpenStudy (phi):
or 2m-18= 2*m- 2*9 = 2(m-9)
OpenStudy (anonymous):
ohhh, yup.
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OpenStudy (anonymous):
and what do you mean by (m-9)/(m-9)? Is it possible for you to draw how you did it?
OpenStudy (phi):
you know a number divided by itself is 1
(m-9) is a number (you just don't know exactly what number)
OpenStudy (anonymous):
ohh, yup.