SOLUTION: Hi, would you tell me where I went wrong? My textbook answer should be -12 but I came up with -6? (n-3)/(2)-(4n-1)/(6)=(2)/(3) Common denonimator 12 and multipy by it 12 (n-3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, would you tell me where I went wrong? My textbook answer should be -12 but I came up with -6? (n-3)/(2)-(4n-1)/(6)=(2)/(3) Common denonimator 12 and multipy by it 12 (n-3      Log On


   



Question 408277: Hi, would you tell me where I went wrong? My textbook answer should be -12 but I came up with -6?
(n-3)/(2)-(4n-1)/(6)=(2)/(3)
Common denonimator 12 and multipy by it
12 (n-3)/(2)-12(4n-1)(6)=12(2)/(3)
6n-3-8n-1=8
-2n-(-4) =8
+4 +4
(-2n)/(-2n)=(12)/(-2)
n=-6

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You applied the distributive property incorrectly. When you multiplied 12(n-3)/2 = 6(n-3) in step 2, you wrote 6n-3 instead of 6n-18. Also, 12(4n-1)/6 = 8n-2, not 8n-1. It should be:

%28n-3%29%2F2+-+%284n-1%29%2F6+=+2%2F3

12%28n-3%29%2F2+-+12%284n-1%29%2F6+=+12%282%2F3%29

%286n+-+18%29+-+%288n+-+2%29+=+8

-2n+-+16+=+8

-2n+=+24 --> n = -12