SOLUTION: If twice a number added to 3 is divided by the number plus 1, the result is three halves? find the number.

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Question 31004This question is from textbook Prealgebra and Introductory Algebra
: If twice a number added to 3 is divided by the number plus 1, the result is three halves? find the number. This question is from textbook Prealgebra and Introductory Algebra

Found 2 solutions by acerX, Cintchr:
Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
The equation would be %283%2B2x%29%2F%28x%2B1%29=3%2F2
from here is is just solving for x
%283%2B2x%29%2F%28x%2B1%29=3%2F2 multiply both sides by (x+1)
3%2B2x=3%2F2%2A%28x%2B1%29 distribute the 3/2
3%2B2x=3%2F2x%2B3%2F2 combine like terms (constants first)
3%2F2%2B2x=3%2F2x combine like terms (now variables)
3%2F2=-1%2F2x multiply both sides by -2
-3=x
check your answer:
%283%2B2x%29%2F%28x%2B1%29=3%2F2
%283%2B2%28-3%29%29%2F%28%28-3%29%2B1%29=3%2F2
%283-6%29%2F%28-3%2B1%29=3%2F2
%28-3%29%2F%28-2%29=3%2F2
3%2F2=3%2F2

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%282n%2B3%29%2F%28n%2B1%29+=+3%2F2+ Cross multiply
+2%282n%2B3%29+=+3%28n%2B1%29+ distribute
+4n+%2B+6+=+3n+%2B+3+ subtract 3n from both sides
+n+%2B+6+=+3+ subtract 6 from both sides
+n+=+-3+
-3 does not make the denominator zero .... so this is the solution