SOLUTION: Express 2x+5 in the form a(2x+1)+ b(x+1) Thanks

Algebra ->  Inverses -> SOLUTION: Express 2x+5 in the form a(2x+1)+ b(x+1) Thanks       Log On


   

Question 829318: Express 2x+5 in the form a(2x+1)+ b(x+1)
Thanks
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
?
?

a%282x%2B1%29%2B+b%28x%2B1%29
2ax%2Ba%2Bbx%2Bb
2ax%2Bbx%2Ba%2Bb
%282a%2Bb%29x%2B%28a%2Bb%29
Compare that to 2x%2B5.
'
Equate factors which are in corresponding locations for the form.
2a%2Bb=2 and a%2Bb=5
SOLVE FOR a AND b.
I strongly suggest using Elimination Method if you know it; otherwise any way that you know, like substitution.


-
You should quickly find a=-3 using Elimination Method....