Question

Select the correct choice below and fill in any answer boxes in your choice

Answer 1

We have the next equation

`(5)/(3x-2)=(2)/(x+1)`

First, we will multiplicate x+1 on both sides

`(5(x+1))/((3x-2))=(2(x+1))/(x+1)`
`(5(x+1))/((3x-2))=2`

then we multiply 3x-2 on both sides

`(5(x+1)(3x-2))/((3x-2))=2(3x-2)`

`5(x+1)=2(3x-2)`

then we do the products

`5x+5=6x-4`

then we sum like terms

`\begin{gathered} 5x-6x=-5-4 \\ \end{gathered}`
`-x=-9`

therefore

`x=9`

The solution set is {9}.