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