Question

How do I solve this problem? 1 - 9/5x = 8/6

Answer 1

The given equation is

`1-(9)/(5x)=(8)/(6)`

Adding -1 on both sides, we get

`1-(9)/(5x)-1=(8)/(6)-1`

`-(9)/(5x)=(8)/(6)-1`
`\text{Use 1=}(6)/(6)\text{ as follows.}`
`-(9)/(5x)=(8)/(6)-(6)/(6)`

`-(9)/(5x)=(8-6)/(6)`

`-(9)/(5x)=(2)/(6)`

`-(9)/(5x)=(1)/(3)`

Using the cross-product method, we get

`-9*3=5x`

`-27=5x`

Dividing by 5 into both sides, we get

`-(27)/(5)=(5x)/(5)`
`x=-(27)/(5)=-5.4`

Hence the required answer is x=-5.4.