Solve for B (complex solution)
\left\{\begin{matrix}B=\frac{y}{y_{x}}\text{, }&y_{x}\neq 0\\B\in \mathrm{C}\text{, }&y=0\text{ and }y_{x}=0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=\frac{y}{y_{x}}\text{, }&y_{x}\neq 0\\B\in \mathrm{R}\text{, }&y=0\text{ and }y_{x}=0\end{matrix}\right.
Solve for y
y=By_{x}
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y_{x}B=y
Swap sides so that all variable terms are on the left hand side.
\frac{y_{x}B}{y_{x}}=\frac{y}{y_{x}}
Divide both sides by y_{x}.
B=\frac{y}{y_{x}}
Dividing by y_{x} undoes the multiplication by y_{x}.
y_{x}B=y
Swap sides so that all variable terms are on the left hand side.
\frac{y_{x}B}{y_{x}}=\frac{y}{y_{x}}
Divide both sides by y_{x}.
B=\frac{y}{y_{x}}
Dividing by y_{x} undoes the multiplication by y_{x}.
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