You can put this solution on YOUR website! A couple of ways come to mind on this problem.
.
You are given:
.
.
To solve for n, you might replace the 3 on the right side by which is equal to 3.
Note that this fraction has the same denominator as the fraction on the left side.
.
Next you can get rid of the on the left side by subtracting from both
sides. This subtraction results in:
.
.
Because the fractions on the right side have the same denominator you can subtract their
numerators and the equation reduces to:
.
.
So, you have the answer of
.
Another way you could do the problem is to start with the original equation:
.
.
and get rid of the denominator 9 by multiplying both sides (all terms) by 9. This multiplication
results in:
.
.
And this simplifies to:
.
.
Subtract 4 from both sides and you have:
.
.
And finally, solve for n by dividing both sides by 9 (the multiplier of n) to get:
.
.
Which is the same answer as we got before.
.
You can check the answer by returning to the original equation you were given and substituting for n to get:
.
.
On the left side, there is a common denominator so the numerators can be added to get:
.
.
After the numerators are added you have:
.
.
And after the 27 is divided by the 9 on the left side you get:
.
.
Since this is true, the equation works when . Therefore, the answer we
got is correct.
.
Hope this helps you to understand the problem and several ways in which it can be worked.
.
And just in case you meant the problem to be:
.
.
(which is not the way you wrote it), you can work this problem by multiplying both sides
by 9 (all terms) to make the equation become:
.
.
Then subtract 4 from both sides and you get:
.
.
In this case the answer for n is n = 23.
(