Question

$$Cxy-\frac{2y}{x}=8$$

Answer

x=-2/(8/y-Cx)

Solution


Factor out the common term \(y\).
\[y(Cx-\frac{2}{x})=8\]
Divide both sides by \(y\).
\[Cx-\frac{2}{x}=\frac{8}{y}\]
Subtract \(Cx\) from both sides.
\[-\frac{2}{x}=\frac{8}{y}-Cx\]
Multiply both sides by \(x\).
\[-2=(\frac{8}{y}-Cx)x\]
Regroup terms.
\[-2=x(\frac{8}{y}-Cx)\]
Divide both sides by \(\frac{8}{y}-Cx\).
\[-\frac{2}{\frac{8}{y}-Cx}=x\]
Switch sides.
\[x=-\frac{2}{\frac{8}{y}-Cx}\]