Solve 6w+vx=y

$$6 w + v x = y$$

Solve for v (complex solution)

$$\left\{\begin{matrix}v=\frac{y-6w}{x}\text{, }&x\neq 0\\v\in \mathrm{C}\text{, }&w=\frac{y}{6}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 6w from both sides.

$$vx=y-6w$$

The equation is in standard form.

$$xv=y-6w$$

Divide both sides by x.

$$\frac{xv}{x}=\frac{y-6w}{x}$$

Dividing by x undoes the multiplication by x.

$$v=\frac{y-6w}{x}$$

Solve for v

$$\left\{\begin{matrix}v=\frac{y-6w}{x}\text{, }&x\neq 0\\v\in \mathrm{R}\text{, }&w=\frac{y}{6}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 6w from both sides.

$$vx=y-6w$$

The equation is in standard form.

$$xv=y-6w$$

Divide both sides by x.

$$\frac{xv}{x}=\frac{y-6w}{x}$$

Dividing by x undoes the multiplication by x.

$$v=\frac{y-6w}{x}$$

Solve for w

$$w=\frac{y-vx}{6}$$

Steps for Solving Linear Equation

Subtract vx from both sides.

$$6w=y-vx$$

Divide both sides by 6.

$$\frac{6w}{6}=\frac{y-vx}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$w=\frac{y-vx}{6}$$