SOLUTION: Please help me solve this two step equation3/5n-11=7

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Question 193651: Please help me solve this two step equation3/5n-11=7
Found 2 solutions by Edwin McCravy, jim_thompson5910:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
3/5n-11=7

I can't tell whether that's

1.  %283%2F5%29n-11=7  with solution n=30

or

2.  3%2F%285n%29-11=7  with solution n=1%2F30

or

3.  3%2F%285n-11%29=7  with solution n=16%2F7

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1.  %283%2F5%29n-11=7

clear of fractions by multiplying every term on
both sides by 5

5%2A%283%2F5%29n-5%2A11=5%2A7

3n-55=35

3n=35%2B55

3n=90

n=30

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2.  3%2F%285n%29-11=7 

clear of fractions by multiplying every term on
both sides by 5n

5n%2A%283%2F%285n%29%29-5n%2A11=5n%2A7

3-55n=35n

-55n=35n-3

-55n-35n=-3

-90n=-3

n=1%2F30

------------------------
  
3.  3%2F%285n-11%29=7  

clear of fractions by multiplying every term on
both sides by (5n-11)

%285n-11%29%2A%283%2F%285n-11%29%29=%285n-11%29%2A7

%28cross%285n-11%29%29%2A%283%2F%28cross%285n-11%29%29%29=7%2A%285n-11%29

3=35n-77

3%2B77=35n

80=35n

80%2F35=n

16%2F7=n

Edwin

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F5%29n-11=7 Start with the given equation.


cross%285%29%28%283%2Fcross%285%29%29n%29-5%2811%29=5%287%29 Multiply EVERY term by the LCD 5 to clear out the fractions.


3n-55=35 Multiply.


3n=35%2B55 Add 55 to both sides.


3n=90 Combine like terms on the right side.


n=%2890%29%2F%283%29 Divide both sides by 3 to isolate n.


n=30 Reduce.


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Answer:

So the answer is n=30