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