Solve for v (complex solution)
\left\{\begin{matrix}v=-\frac{w+y-5x}{x}\text{, }&x\neq 0\\v\in \mathrm{C}\text{, }&x=0\text{ and }w=-y\end{matrix}\right.
Solve for v
\left\{\begin{matrix}v=-\frac{w+y-5x}{x}\text{, }&x\neq 0\\v\in \mathrm{R}\text{, }&x=0\text{ and }w=-y\end{matrix}\right.
Solve for w
w=-vx+5x-y
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vx+y=5x-w
Swap sides so that all variable terms are on the left hand side.
vx=5x-w-y
Subtract y from both sides.
xv=5x-y-w
The equation is in standard form.
\frac{xv}{x}=\frac{5x-y-w}{x}
Divide both sides by x.
v=\frac{5x-y-w}{x}
Dividing by x undoes the multiplication by x.
vx+y=5x-w
Swap sides so that all variable terms are on the left hand side.
vx=5x-w-y
Subtract y from both sides.
xv=5x-y-w
The equation is in standard form.
\frac{xv}{x}=\frac{5x-y-w}{x}
Divide both sides by x.
v=\frac{5x-y-w}{x}
Dividing by x undoes the multiplication by x.
-w=vx+y-5x
Subtract 5x from both sides.
-w=vx-5x+y
The equation is in standard form.
\frac{-w}{-1}=\frac{vx-5x+y}{-1}
Divide both sides by -1.
w=\frac{vx-5x+y}{-1}
Dividing by -1 undoes the multiplication by -1.
w=-vx+5x-y
Divide vx+y-5x by -1.
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