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OpenStudy (anonymous):
How to find the value of the K variable?
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OpenStudy (anonymous):
-1=2k+5/-4-k
OpenStudy (anonymous):
\[-1=\frac{2k+5}{-4-k}\] multiply both sides by \(-4-k\) and solve
\[k+4=2k+5\]you good from there?
OpenStudy (anonymous):
you can almost do it in your head
subtract \(k\) and get \[4=k+5\] then subtract \(5\)
OpenStudy (anonymous):
Okay then k is -1?
OpenStudy (anonymous):
I don't know i i did the last one right. its -2+-3-7/2-k and i got k=-5. Am i right?
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OpenStudy (anonymous):
yeah it is \(k=-1\) and you can check that it works
OpenStudy (anonymous):
I mean -2=-3-7/2-k
OpenStudy (anonymous):
is the numerator really \(-3-7\)?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
i.e. \(-10\)
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OpenStudy (anonymous):
can you explain it?
OpenStudy (anonymous):
so
\[-2=\frac{-10}{2-k}\] or
\[-2(2-k)=-10\] then
\[-4+2k=-10\]
OpenStudy (anonymous):
add 4 to both sides and get \(2k=-6\) and so \(k=-3\)
OpenStudy (anonymous):
i take it we were solving
\[-2=\frac{-3-7}{2-k}\] with no \(k\) up top, right?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
ok did you get all the steps? or would you like me to rewrite them?
OpenStudy (anonymous):
I got it! Thanks!
OpenStudy (anonymous):
yw
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