Solve for m (complex solution)
\left\{\begin{matrix}m=-\frac{y+3}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=-3\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{y+3}{m}\text{, }&m\neq 0\\x\in \mathrm{C}\text{, }&y=-3\text{ and }m=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=-\frac{y+3}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=-3\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{y+3}{m}\text{, }&m\neq 0\\x\in \mathrm{R}\text{, }&y=-3\text{ and }m=0\end{matrix}\right.
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mx+3=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
mx=-y-3
Subtract 3 from both sides.
xm=-y-3
The equation is in standard form.
\frac{xm}{x}=\frac{-y-3}{x}
Divide both sides by x.
m=\frac{-y-3}{x}
Dividing by x undoes the multiplication by x.
m=-\frac{y+3}{x}
Divide -y-3 by x.
mx+3=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
mx=-y-3
Subtract 3 from both sides.
\frac{mx}{m}=\frac{-y-3}{m}
Divide both sides by m.
x=\frac{-y-3}{m}
Dividing by m undoes the multiplication by m.
x=-\frac{y+3}{m}
Divide -y-3 by m.
mx+3=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
mx=-y-3
Subtract 3 from both sides.
xm=-y-3
The equation is in standard form.
\frac{xm}{x}=\frac{-y-3}{x}
Divide both sides by x.
m=\frac{-y-3}{x}
Dividing by x undoes the multiplication by x.
m=-\frac{y+3}{x}
Divide -y-3 by x.
mx+3=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
mx=-y-3
Subtract 3 from both sides.
\frac{mx}{m}=\frac{-y-3}{m}
Divide both sides by m.
x=\frac{-y-3}{m}
Dividing by m undoes the multiplication by m.
x=-\frac{y+3}{m}
Divide -y-3 by m.
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Limits
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