SOLUTION: Hi, I have a question. If f(x)=2x+3, g(x)=1-2x, and 3f(a)=g(3a), then a= I know it is -2/3 but I don't understand how? Thanks!

Algebra ->  Functions -> SOLUTION: Hi, I have a question. If f(x)=2x+3, g(x)=1-2x, and 3f(a)=g(3a), then a= I know it is -2/3 but I don't understand how? Thanks!      Log On


   



Question 605177: Hi, I have a question.
If f(x)=2x+3, g(x)=1-2x, and 3f(a)=g(3a), then a=
I know it is -2/3 but I don't understand how?
Thanks!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x)=2x+3, g(x)=1-2x, and 3f(a)=g(3a), then a=
I know it is -2/3 but I don't understand how?
---------
f(a) = 2a + 3
3f(a) = 6a + 9
--------
g(3a) = 1 - 6a
---
6a + 9 = 1 - 6a
12a = -8
a = -2/3