Solve for m (complex solution)
\left\{\begin{matrix}m=-\frac{-x+3y-127}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=\frac{127}{3}\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{3y-127}{m-1}\text{, }&m\neq 1\\x\in \mathrm{C}\text{, }&y=\frac{127}{3}\text{ and }m=1\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=-\frac{-x+3y-127}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=\frac{127}{3}\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{3y-127}{m-1}\text{, }&m\neq 1\\x\in \mathrm{R}\text{, }&y=\frac{127}{3}\text{ and }m=1\end{matrix}\right.
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mx-x+3y=127
Use the distributive property to multiply m-1 by x.
mx+3y=127+x
Add x to both sides.
mx=127+x-3y
Subtract 3y from both sides.
xm=x-3y+127
The equation is in standard form.
\frac{xm}{x}=\frac{x-3y+127}{x}
Divide both sides by x.
m=\frac{x-3y+127}{x}
Dividing by x undoes the multiplication by x.
mx-x+3y=127
Use the distributive property to multiply m-1 by x.
mx-x=127-3y
Subtract 3y from both sides.
\left(m-1\right)x=127-3y
Combine all terms containing x.
\frac{\left(m-1\right)x}{m-1}=\frac{127-3y}{m-1}
Divide both sides by m-1.
x=\frac{127-3y}{m-1}
Dividing by m-1 undoes the multiplication by m-1.
mx-x+3y=127
Use the distributive property to multiply m-1 by x.
mx+3y=127+x
Add x to both sides.
mx=127+x-3y
Subtract 3y from both sides.
xm=x-3y+127
The equation is in standard form.
\frac{xm}{x}=\frac{x-3y+127}{x}
Divide both sides by x.
m=\frac{x-3y+127}{x}
Dividing by x undoes the multiplication by x.
mx-x+3y=127
Use the distributive property to multiply m-1 by x.
mx-x=127-3y
Subtract 3y from both sides.
\left(m-1\right)x=127-3y
Combine all terms containing x.
\frac{\left(m-1\right)x}{m-1}=\frac{127-3y}{m-1}
Divide both sides by m-1.
x=\frac{127-3y}{m-1}
Dividing by m-1 undoes the multiplication by m-1.
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