Question

If a+2b/3=2/c^9
what is 4/b

Answer 1

`(4)/(b)=(8c^9)/(6-3c^9a)`

Explanation:

Given the expression

`a+(2b)/(3)=(2)/(c^9)`

subtract a from both sides

`a+(2b)/(3)-a=(2)/(c^9)-a`

Simplify

`(2b)/(3)=(2)/(c^9)-a`

Multiply both sides by 3

`(3\cdot \:2b)/(3)=3\cdot (2)/(c^9)-3a`

Simplify

`2b=(6)/(c^9)-3a`

Divide both sides by 2

`(2b)/(2)=((6)/(c^9))/(2)-(3a)/(2)`

Simplify

`b=(6-3ac^9)/(2c^9)`

Calculating 4/b

`(4)/(b)=(4)/((6-3ac^9)/(2c^9))` ∵
`b=(6-3ac^9)/(2c^9)`

`(4)/(b)\:=(4\:* \:\:2c^9)/(6-3ac^9)`

`(4)/(b)=(8c^9)/(6-3c^9a)`

Therefore, we conclude that:

`(4)/(b)=(8c^9)/(6-3c^9a)`