SOLUTION: What is the answer to the following proportion: x + 4 over x + 1 = 2x over 12 ? The answer I got was: (x - 8)(x + 3). Our book says the answer should be 8. Thank

Algebra ->  Proportions  -> Lessons -> SOLUTION: What is the answer to the following proportion: x + 4 over x + 1 = 2x over 12 ? The answer I got was: (x - 8)(x + 3). Our book says the answer should be 8. Thank      Log On


   

Question 866861: What is the answer to the following proportion:
x + 4 over x + 1 = 2x over 12 ?
The answer I got was: (x - 8)(x + 3). Our book says the answer should be 8.
Thank you, Bill Whitener
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+%2B+4%29%2F%28x+%2B+1%29++=++%282x%29%2F12
%28x+%2B+4%29%2F%28x+%2B+1%29++=++%28x%29%2F6
6%28x%2B4%29=x%28x%2B1%29
6x%2B24=x%5E2%2Bx
x%5E2%2Bx-6x-24=0
x%5E2-5x-24=0
%28x-8%29%28x%2B3%29=0
Two solutions:
x-8=0
x=8
and
x%2B3=0
x=-3