SOLUTION: 11/x+2=5/x

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Question 178310: 11/x+2=5/x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation 11%2F%28x%2B2%29=5%2Fx ???

11%2F%28x%2B2%29=5%2Fx Start with the given equation.


11x=5%28x%2B2%29 Cross multiply


11x=5x%2B10 Distribute.


11x-5x=10 Subtract 5x from both sides.


6x=10 Combine like terms on the left side.


x=%2810%29%2F%286%29 Divide both sides by 6 to isolate x.


x=5%2F3 Reduce.


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Answer:

So the answer is x=5%2F3 which approximates to x=1.667.




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Or....

Is the equation 11%2Fx%2B2=5%2Fx ???


11%2Fx%2B2=5%2Fx Start with the given equation.


11%2B2x=5 Multiply every term by the LCD "x" to clear the fractions.


2x=5-11 Subtract 11 from both sides.


2x=-6 Combine like terms on the right side.


x=%28-6%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-3 Reduce.


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Answer:

So the answer is x=-3