Question

If x-1/x = 20, then x =

Answer 1

Given

`(x-1)/(x)=20`

Solution

`\begin{gathered} (x-1)/(x)=(20)/(1) \\ \text{cross multiply} \\ 1(x-1)=20(x)_{} \\ we\text{ have} \\ x-1=20x \\ \text{collect the like terms} \\ -1=20x-x \\ -1=19x \\ \text{rewrite} \\ 19x=-1 \\ \text{Divide both sides by 19} \\ (19x)/(19)=-(1)/(19) \\ \\ x=-(1)/(19) \end{gathered}`

The final answer

`x=-(1)/(19)`