Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{a}{3y}-3\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&a=0\text{ and }y=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{a}{3y}-3\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&a=0\text{ and }y=0\end{matrix}\right.
Solve for a
a=3y\left(x+3\right)
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9y+3yx=a
Swap sides so that all variable terms are on the left hand side.
3yx=a-9y
Subtract 9y from both sides.
\frac{3yx}{3y}=\frac{a-9y}{3y}
Divide both sides by 3y.
x=\frac{a-9y}{3y}
Dividing by 3y undoes the multiplication by 3y.
x=\frac{a}{3y}-3
Divide a-9y by 3y.
9y+3yx=a
Swap sides so that all variable terms are on the left hand side.
3yx=a-9y
Subtract 9y from both sides.
\frac{3yx}{3y}=\frac{a-9y}{3y}
Divide both sides by 3y.
x=\frac{a-9y}{3y}
Dividing by 3y undoes the multiplication by 3y.
x=\frac{a}{3y}-3
Divide a-9y by 3y.
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