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OpenStudy (anonymous):
Is the equation:\[\frac{1}{3x-5} - \frac{5}{x-2} = 12\]
OpenStudy (jessiegonzales):
yes :)
OpenStudy (anonymous):
Start by subtracting the two fractions as you would do a normal fraction, by cross multiplying.
OpenStudy (jessiegonzales):
(x-2)-(15x-30)
OpenStudy (anonymous):
Great! That is the numerator and the denominator would be?
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OpenStudy (jessiegonzales):
x=29/18 ??
OpenStudy (anonymous):
1/(3x-5) - 5/(x-2) - 12//(3x-5)(x-2) = 0
OpenStudy (jessiegonzales):
A. x=34/9
B. x=-29/18
C. x=-34/9
D. x=29/18
OpenStudy (anonymous):
((X-2)-5(3x-5)-12)/(3x-5)(x-2)=0
OpenStudy (anonymous):
It goes like this:
\[\frac{(x-2)-(15x-25)}{(3x-5)(x-2)} = 12\]
\[\frac{x-2-15x+25}{(3x-5)(x-2)} = 12\]
\[\frac{-14x+23}{(3x-5)(x-2)} = 12\]
\[-14x+23 = 12(3x-5)(x-2)\]
Can you solve further?
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OpenStudy (jessiegonzales):
Is the answer D?
OpenStudy (anonymous):
Sorry 12 instead of 0
((X-2)-5(3x-5)-12)/(3x-5)(x-2)=12
OpenStudy (anonymous):
The answer does not match any of the four given choices. Check the question again?
OpenStudy (jessiegonzales):
@Chad123 pls is it D???
OpenStudy (anonymous):
@jessiegonzales if all you care about is the answer, then you should learn the easiest way
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OpenStudy (anonymous):
Plug in each of your answer choices until one of them is correct