SOLUTION: n+4/9=3

Question 91042: n+4/9=3

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
A couple of ways come to mind on this problem.
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You are given:
.

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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.

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