Solve for B (complex solution)
\left\{\begin{matrix}B=-\frac{Hy-k}{x}\text{, }&x\neq 0\\B\in \mathrm{C}\text{, }&k=Hy\text{ and }x=0\end{matrix}\right.
Solve for H (complex solution)
\left\{\begin{matrix}H=-\frac{Bx-k}{y}\text{, }&y\neq 0\\H\in \mathrm{C}\text{, }&k=Bx\text{ and }y=0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=-\frac{Hy-k}{x}\text{, }&x\neq 0\\B\in \mathrm{R}\text{, }&k=Hy\text{ and }x=0\end{matrix}\right.
Solve for H
\left\{\begin{matrix}H=-\frac{Bx-k}{y}\text{, }&y\neq 0\\H\in \mathrm{R}\text{, }&k=Bx\text{ and }y=0\end{matrix}\right.
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Bx=k-Hy
Subtract Hy from both sides.
xB=k-Hy
The equation is in standard form.
\frac{xB}{x}=\frac{k-Hy}{x}
Divide both sides by x.
B=\frac{k-Hy}{x}
Dividing by x undoes the multiplication by x.
Hy=k-Bx
Subtract Bx from both sides.
yH=k-Bx
The equation is in standard form.
\frac{yH}{y}=\frac{k-Bx}{y}
Divide both sides by y.
H=\frac{k-Bx}{y}
Dividing by y undoes the multiplication by y.
Bx=k-Hy
Subtract Hy from both sides.
xB=k-Hy
The equation is in standard form.
\frac{xB}{x}=\frac{k-Hy}{x}
Divide both sides by x.
B=\frac{k-Hy}{x}
Dividing by x undoes the multiplication by x.
Hy=k-Bx
Subtract Bx from both sides.
yH=k-Bx
The equation is in standard form.
\frac{yH}{y}=\frac{k-Bx}{y}
Divide both sides by y.
H=\frac{k-Bx}{y}
Dividing by y undoes the multiplication by y.
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Limits
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