SOLUTION: What is the solution of the proportion? n-6= n-5 3n 3n+1 I cross multiplied and got (n-6)(3n+1)=3n(n-5) and I then FOILed and did the distributive property and got 3n^2+n-18

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Question 852308: What is the solution of the proportion?
n-6= n-5
3n 3n+1
I cross multiplied and got (n-6)(3n+1)=3n(n-5) and I then FOILed and did the distributive property and got 3n^2+n-18n-6=3n^2-15n and I am now stuck and have no idea what to do next.. Please Help! Thank You ! :)

Answer by josh_jordan(263)   (Show Source): You can put this solution on YOUR website!
Hello, I'm unclear as to the actual proportion, but I'm assuming it's



If this is the case, first, you need to cross-multiply, which you did, and you'd get:

(n - 6)(3n + 1) = 3n(n - 5) ----->

----->



Next, get all of the n's and n^2's to one side, and the numbers to the other side. When you do this, you will get:



Now, you can solve for n, by dividing both sides of the equation by -2:

----->

, which is your answer

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