Question

U = y+ k/x, solve for x

Answer 1

The given equation is

`u=y+(k)/(x)`

First, let's subtract y from each side.

`\begin{gathered} u-y=y-y+(k)/(x) \\ u-y=(k)/(x) \end{gathered}`

Then, we multiply x on each side.

`\begin{gathered} x(u-y)=x\cdot(k)/(x) \\ x(u-y)=k \end{gathered}`

At last, let's divide each side by u-y.

`\begin{gathered} (x(u-y))/(u-y)=(k)/(u-y) \\ x=(k)/(u-y) \end{gathered}`

Therefore, the final expression is

`x=(k)/(u-y)`