Solve for b (complex solution)
\left\{\begin{matrix}b=-\frac{3x-2}{y}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&x=\frac{2}{3}\text{ and }y=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=-\frac{3x-2}{y}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&x=\frac{2}{3}\text{ and }y=0\end{matrix}\right.
Solve for x
x=\frac{2-by}{3}
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by=2-3x
Subtract 3x from both sides.
yb=2-3x
The equation is in standard form.
\frac{yb}{y}=\frac{2-3x}{y}
Divide both sides by y.
b=\frac{2-3x}{y}
Dividing by y undoes the multiplication by y.
by=2-3x
Subtract 3x from both sides.
yb=2-3x
The equation is in standard form.
\frac{yb}{y}=\frac{2-3x}{y}
Divide both sides by y.
b=\frac{2-3x}{y}
Dividing by y undoes the multiplication by y.
3x=2-by
Subtract by from both sides.
\frac{3x}{3}=\frac{2-by}{3}
Divide both sides by 3.
x=\frac{2-by}{3}
Dividing by 3 undoes the multiplication by 3.
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