SOLUTION: could someone please help me solve this by eliminating to fraction 1/6v +1 = 1/4v -1

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Question 130374: could someone please help me solve this by eliminating to fraction


1/6v +1 = 1/4v -1


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F6%29v%2B1=%281%2F4%29v-1 Start with the given equation



%2812%29%28%281%2Fcross%286%29%29v%2B1%29=%2812%29%28%281%2Fcross%284%29%29v-1%29 Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



2v%2B12=3v-12 Distribute and multiply the LCM to each side



2v=3v-12-12Subtract 12 from both sides


2v-3v=-12-12 Subtract 3v from both sides


-v=-12-12 Combine like terms on the left side


-v=-24 Combine like terms on the right side


v=%28-24%29%2F%28-1%29 Divide both sides by -1 to isolate v



v=24 Divide

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Answer:
So our answer is v=24