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OpenStudy (keana):
solve 6/x+4=1/2
a: 8
b: -1
c: 16
d: 4
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OpenStudy (australopithecus):
do you mean?
\[\frac{6}{x} + 4 = \frac{1}{2}\]
hero (hero):
Hint: Cross Multiply to get
6(2) = x + 4
OpenStudy (keana):
@Australopithecus nope
OpenStudy (australopithecus):
\[\frac{6}{x} = \frac{1}{2} - 4\]
\[(\frac{6}{x})x = (\frac{1}{2} - 4)x\]
\[6 = (\frac{1}{2} - 4)x\]
\[\frac{x}{(\frac{1}{2}-4)} = \frac{(\frac{1}{2} - 4)x}{(\frac{1}{2}-4)}\]
OpenStudy (australopithecus):
oops
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OpenStudy (australopithecus):
\[\frac{6}{\frac{1}{2} - 4} = x\]
OpenStudy (australopithecus):
that last equation should have a 6 above it instead of an x
OpenStudy (keana):
@Australopithecus i'm confused
hero (hero):
@Australopithecus made an incorrect assumption it seems
hero (hero):
\(\huge\frac{6}{x+4} = \frac{1}{2}\)
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hero (hero):
^Cross multiply that to get
6(2) = x + 4
Then solve for x
OpenStudy (keana):
@Hero so A ?
hero (hero):
Correct @keana
OpenStudy (australopithecus):
\[\frac{6}{x+4} = \frac{1}{2}\]
\[\frac{6}{x+4}(x+4) = \frac{1}{2}(x+4)\]
\[\frac{6}{x+4}\frac{(x+4)}{1} = \frac{1}{2}\frac{(x+4)}{1}\]
\[\frac{6(x+4)}{1*(x+4)} = \frac{(x+4)*1}{2*1}\]
\[6 = \frac{x+4}{2}\]
\[6(2) = \frac{(x+4)2}{2*1}\]
\[6(2) = x+4\]
\[6(2) - 4 = x\]
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