SOLUTION: 7/n+96=84

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Question 124734: 7/n+96=84
Answer by JessicaGill(40) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2Fn%29%2B96=84
To Solve this lets first subtract 96 from each side
%287%2Fn%29%2B96-96=84-96
This Brings us to the following
%287%2Fn%29=-12
Now we must isolate the variable "n" to one side of the equation.
To do that we must multiply each side by n.
n%287%2Fn%29=-12n
That brings us to the following
7=-12n
To solve for n we must divide both sides by -12
%287%2F-12%29=%28-12n%2F-12%29
This brings us to the following solution
%287%2F-12%29=n
To check the solution we must substitue %287%2F-12%29 into the problem for the variable "n"
7%2F%287%2F-12%29%2B96=84
First, since we are dividing 7 by (7/-12) we must do the opposite and multiply by the reciprical which is (-12/7). We would set up the problem in this fashion.
%287%2F1%29%28-12%2F7%29%2B96=84
We can factor out the numerator of 7 in the first fraction with the denominator of 7 in the second fraction to leave us with -12.
-12%2B96=84
Simplified, we get
84=84