Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{y}{3y_{6}}\text{, }&y_{6}\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }y_{6}=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{y}{3y_{6}}\text{, }&y_{6}\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }y_{6}=0\end{matrix}\right.
Solve for y
y=-3xy_{6}
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-3xy_{6}=y
Swap sides so that all variable terms are on the left hand side.
\left(-3y_{6}\right)x=y
The equation is in standard form.
\frac{\left(-3y_{6}\right)x}{-3y_{6}}=\frac{y}{-3y_{6}}
Divide both sides by -3y_{6}.
x=\frac{y}{-3y_{6}}
Dividing by -3y_{6} undoes the multiplication by -3y_{6}.
x=-\frac{y}{3y_{6}}
Divide y by -3y_{6}.
-3xy_{6}=y
Swap sides so that all variable terms are on the left hand side.
\left(-3y_{6}\right)x=y
The equation is in standard form.
\frac{\left(-3y_{6}\right)x}{-3y_{6}}=\frac{y}{-3y_{6}}
Divide both sides by -3y_{6}.
x=\frac{y}{-3y_{6}}
Dividing by -3y_{6} undoes the multiplication by -3y_{6}.
x=-\frac{y}{3y_{6}}
Divide y by -3y_{6}.
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