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Mathematics 21 Online
OpenStudy (anonymous):

Help! 1/x-4 = 6/x+6

OpenStudy (anonymous):

You need the value of x?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

\[1/ (x-4) = 6/(x+6) \]

OpenStudy (anonymous):

If they are equal then if you subtract one from the other you would get 0. Thus rewrite the equation as 1/x - 4 - 6/x+6 = 0. Now find the least common denominator and solve.

OpenStudy (anonymous):

times x+6 to both sides and times x-4 by both sides. You will end up with: \[(x+ 6) = 6(x-4)\]

OpenStudy (anonymous):

I think you can take it on from here.

OpenStudy (anonymous):

x = 6! Thanks

OpenStudy (anonymous):

You welcome.

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