Solve for y (complex solution)
\left\{\begin{matrix}y=\frac{3}{x}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=\frac{3}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{3}{y}\text{, }&y\neq 0\end{matrix}\right.
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x^{2}y=3x
Add 3x to both sides. Anything plus zero gives itself.
\frac{x^{2}y}{x^{2}}=\frac{3x}{x^{2}}
Divide both sides by x^{2}.
y=\frac{3x}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
y=\frac{3}{x}
Divide 3x by x^{2}.
x^{2}y=3x
Add 3x to both sides. Anything plus zero gives itself.
\frac{x^{2}y}{x^{2}}=\frac{3x}{x^{2}}
Divide both sides by x^{2}.
y=\frac{3x}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
y=\frac{3}{x}
Divide 3x by x^{2}.
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Limits
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