Question

23=1/3b-2+4/3bwhat is the value of b?

Answer 1

`23\text{ = }(1)/(3b)-2+\text{ }(4)/(3b)`

Next, we multiply throughout by the L.C.M of the denominators ( 3b)

`23\text{ ( 3b ) = ( 3b ) }\frac{1}{3b\text{ }}\text{ - 2 ( 3b ) + }\frac{4\text{ ( 3b )}}{3b}`
`\begin{gathered} 69b\text{ = 1 - 6b + 4 } \\ 69b\text{ + 6b = 5} \\ 75b\text{ = 5} \\ b\text{ = }(5)/(75)\text{ = }(1)/(15) \end{gathered}`

Thus the value of b is

`(1)/(15)`