Solve for m (complex solution)
\left\{\begin{matrix}m=-\frac{3b-y}{5x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=3b\text{ and }x=0\end{matrix}\right.
Solve for b
b=\frac{y-5mx}{3}
Solve for m
\left\{\begin{matrix}m=-\frac{3b-y}{5x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=3b\text{ and }x=0\end{matrix}\right.
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5mx+3b=y
Swap sides so that all variable terms are on the left hand side.
5mx=y-3b
Subtract 3b from both sides.
5xm=y-3b
The equation is in standard form.
\frac{5xm}{5x}=\frac{y-3b}{5x}
Divide both sides by 5x.
m=\frac{y-3b}{5x}
Dividing by 5x undoes the multiplication by 5x.
5mx+3b=y
Swap sides so that all variable terms are on the left hand side.
3b=y-5mx
Subtract 5mx from both sides.
\frac{3b}{3}=\frac{y-5mx}{3}
Divide both sides by 3.
b=\frac{y-5mx}{3}
Dividing by 3 undoes the multiplication by 3.
5mx+3b=y
Swap sides so that all variable terms are on the left hand side.
5mx=y-3b
Subtract 3b from both sides.
5xm=y-3b
The equation is in standard form.
\frac{5xm}{5x}=\frac{y-3b}{5x}
Divide both sides by 5x.
m=\frac{y-3b}{5x}
Dividing by 5x undoes the multiplication by 5x.
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