SOLUTION: 3/x + 7 = 11

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Question 127255: 3/x + 7 = 11
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Does your equation look like 3%2Fx+%2B+7+=+11 ?

If it does, then...

3%2Fx+%2B+7+=+11 Start with the given equation


x%283%2Fx+%2B+7%29+=+x%2811%29 Multiply both sides by the LCD x. This will eliminate the fractions


3+%2B+7x+=+11x Distribute and multiply


7x=11x-3Subtract 3 from both sides


7x-11x=-3 Subtract 11x from both sides


-4x=-3 Combine like terms on the left side


x=%28-3%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=3%2F4 Reduce

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Answer:
So our answer is x=3%2F4 (which is approximately x=0.75 in decimal form)




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OR...


Does your equation look like 3%2F%28x+%2B+7%29+=+11 ?

If it does, then...



3%2F%28x+%2B+7%29+=+11 Start with the given equation


%28x%2B7%29%283%2F%28x+%2B+7%29%29+=+%28x%2B7%29%2811%29 Multiply both sides by the LCD x%2B7. This will eliminate the fractions


3+=+11x%2B77 Distribute and multiply


0=11x%2B77-3Subtract 3 from both sides


-11x=77-3 Subtract 11x from both sides


-11x=74 Combine like terms on the right side


x=%2874%29%2F%28-11%29 Divide both sides by -11 to isolate x



x=-74%2F11 Reduce

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Answer:
So our answer is x=-74%2F11 (which is approximately x=-6.72727272727273 in decimal form)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%2Fx+%2B+7+=+11....multiply both sides by x
%283%2Fx%29x+%2B+7x+=+11x....
%283%2Fcross%28x%29%29cross%28x%29+%2B+7x+=+11x....
3%2B+7x+=+11x....
3+=+11x+-7x....
3+=+4x....
x+=+3%2F4....