SOLUTION: A(x+2)+B(2x+1)=3,then find the value of (A+B).

Algebra ->  Equations -> SOLUTION: A(x+2)+B(2x+1)=3,then find the value of (A+B).      Log On


   

Question 939802: A(x+2)+B(2x+1)=3,then find the value of (A+B).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%28x%2B2%29%2BB%282x%2B1%29=3
Ax%2B2A%2B2Bx%2BB=3
%28A%2B2B%29x%2B%282A%2BB%29=3
So then,
A%2B2B=0
2A%2BB=3
From the first,
A=-2B
Substitute,
2%28-2B%29%2BB=3
-4B%2BB=3
-3B=3
B=-1
Then,
A=-2%28-1%29
A=2
So,
A%2BB=2-1
highlight%28A%2BB=1%29