SOLUTION: ` ` ` b-a b = ` --- ` ` ` `a ` solve for b ` Please help me solve this formula. I am confused because there are 2 bs and I do not know what to do with them. I typed it a

Algebra ->  Expressions-with-variables -> SOLUTION: ` ` ` b-a b = ` --- ` ` ` `a ` solve for b ` Please help me solve this formula. I am confused because there are 2 bs and I do not know what to do with them. I typed it a      Log On


   

Question 19401: ` ` ` b-a
b = ` ---
` ` ` `a
`
solve for b
`
Please help me solve this formula. I am confused because there are 2 bs and I do not know what to do with them. I typed it as clear as I could it is b equals b-a over a.
Thank you
Found 2 solutions by longjonsilver, AnlytcPhil:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
b+=+%28b-a%29%2F%28a%29
ab+=+b-a
ab+-+b+=+-a
b%28a+-+1%29+=+-a
b+=+-a%2F%28a-1%29

or, tidying up the negative sign, we can do the following:

b+=+-a%2F%28%28-1%29%28-a%2B1%29%29
b+=+-a%2F%28%28-1%29%281-a%29%29
b+=+a%2F%281-a%29

jon.

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!

` ` ` b-a
b = ` ---
` ` ` `a
`
solve for b
`
Multiply both sides by " a ", the LCD
`
` ` ` ` b-a
b·a = ` --- · a
` ` ` ` `a
`
Cancel the a's on the right
`
` ` ` ` b-a
b·a = ` --- · a
` ` ` ` `a
`
ba = b-a
`
Get all the terms with b's on one side and all terms without b's on the other side:
`
a = b - ba
`
Factor out b on the right
`
a = b(1 - a)
`
Divide both sides by (1 - a)
`
` a ` ` b(1-a)
----- = ------
(1-a) ` (1-a)
`
Cancel the (1-a)'s on the right
`
` a ` ` b(1-a)
----- = ------
(1-a) ` (1-a)
`
` a
----- = b
(1-a)
`
No need for the parentheses on the left:
`
`a
--- = b
1-a
`
Edwin