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u = y+ k/x, solve for x

Sagot :

The given equation is

[tex]u=y+\frac{k}{x}[/tex]

First, let's subtract y from each side.

[tex]\begin{gathered} u-y=y-y+\frac{k}{x} \\ u-y=\frac{k}{x} \end{gathered}[/tex]

Then, we multiply x on each side.

[tex]\begin{gathered} x(u-y)=x\cdot\frac{k}{x} \\ x(u-y)=k \end{gathered}[/tex]

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

[tex]\begin{gathered} \frac{x(u-y)}{u-y}=\frac{k}{u-y} \\ x=\frac{k}{u-y} \end{gathered}[/tex]

Therefore, the final expression is

[tex]x=\frac{k}{u-y}[/tex]

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