Solve for O (complex solution)
\left\{\begin{matrix}O=-\frac{4-x}{2y}\text{, }&y\neq 0\\O\in \mathrm{C}\text{, }&x=4\text{ and }y=0\end{matrix}\right.
Solve for O
\left\{\begin{matrix}O=-\frac{4-x}{2y}\text{, }&y\neq 0\\O\in \mathrm{R}\text{, }&x=4\text{ and }y=0\end{matrix}\right.
Solve for x
x=2\left(Oy+2\right)
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yO=\frac{x}{2}-2
The equation is in standard form.
\frac{yO}{y}=\frac{\frac{x}{2}-2}{y}
Divide both sides by y.
O=\frac{\frac{x}{2}-2}{y}
Dividing by y undoes the multiplication by y.
O=\frac{x-4}{2y}
Divide \frac{x}{2}-2 by y.
yO=\frac{x}{2}-2
The equation is in standard form.
\frac{yO}{y}=\frac{\frac{x}{2}-2}{y}
Divide both sides by y.
O=\frac{\frac{x}{2}-2}{y}
Dividing by y undoes the multiplication by y.
O=\frac{x-4}{2y}
Divide \frac{x}{2}-2 by y.
\frac{1}{2}x-2=Oy
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=Oy+2
Add 2 to both sides.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{Oy+2}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{Oy+2}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2Oy+4
Divide Oy+2 by \frac{1}{2} by multiplying Oy+2 by the reciprocal of \frac{1}{2}.
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