Solve for k (complex solution)
\left\{\begin{matrix}k=-\frac{K-vx}{y}\text{, }&y\neq 0\\k\in \mathrm{C}\text{, }&K=vx\text{ and }y=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k=-\frac{K-vx}{y}\text{, }&y\neq 0\\k\in \mathrm{R}\text{, }&K=vx\text{ and }y=0\end{matrix}\right.
Solve for K
K=vx-ky
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ky+K=vx
Swap sides so that all variable terms are on the left hand side.
ky=vx-K
Subtract K from both sides.
yk=vx-K
The equation is in standard form.
\frac{yk}{y}=\frac{vx-K}{y}
Divide both sides by y.
k=\frac{vx-K}{y}
Dividing by y undoes the multiplication by y.
ky+K=vx
Swap sides so that all variable terms are on the left hand side.
ky=vx-K
Subtract K from both sides.
yk=vx-K
The equation is in standard form.
\frac{yk}{y}=\frac{vx-K}{y}
Divide both sides by y.
k=\frac{vx-K}{y}
Dividing by y undoes the multiplication by y.
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