168k views
5 votes
9a=(12a+3b)/4 solve for b

User Erotavlas
by
8.3k points

1 Answer

2 votes

Explanation:

9a = (12a + 3b)/4

to solve for b means we transform the equation so that we end up with

b = ...

or

... = b

remember, whatever we do, we always have to so it to both sides of the equation. otherwise we destroy its information.

the most disturbing thing in an expression is always a division or fraction.

so, let's get rid of it by multiplying everything by 4 :

4×9a = 4×(12a + 3b)/4

36a = 12a + 3b

now, let's bring everything that is not a term in b to the other side of b. that means we subtract 12a from both sides :

36a - 12a = 12a + 3b - 12a

24a = 3b

and now, to get only b in one side, we simply divide everything by 3 :

24a/3 = 3b/3

8a = b

tadaaaa !

b = 8a

User Mikeholp
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.