Solve for y (complex solution)
\left\{\begin{matrix}y=-\frac{2x}{3\eta }\text{, }&\eta \neq 0\\y\in \mathrm{C}\text{, }&x=0\text{ and }\eta =0\end{matrix}\right.
Solve for x
x=-\frac{3y\eta }{2}
Solve for y
\left\{\begin{matrix}y=-\frac{2x}{3\eta }\text{, }&\eta \neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }\eta =0\end{matrix}\right.
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3\eta y=-2x
Multiply both sides of the equation by 3.
\frac{3\eta y}{3\eta }=-\frac{2x}{3\eta }
Divide both sides by 3\eta .
y=-\frac{2x}{3\eta }
Dividing by 3\eta undoes the multiplication by 3\eta .
3\eta y=-2x
Multiply both sides of the equation by 3.
-2x=3\eta y
Swap sides so that all variable terms are on the left hand side.
-2x=3y\eta
The equation is in standard form.
\frac{-2x}{-2}=\frac{3y\eta }{-2}
Divide both sides by -2.
x=\frac{3y\eta }{-2}
Dividing by -2 undoes the multiplication by -2.
x=-\frac{3y\eta }{2}
Divide 3\eta y by -2.
3\eta y=-2x
Multiply both sides of the equation by 3.
\frac{3\eta y}{3\eta }=-\frac{2x}{3\eta }
Divide both sides by 3\eta .
y=-\frac{2x}{3\eta }
Dividing by 3\eta undoes the multiplication by 3\eta .
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