Solve 9x-w=vx+yquadx=

$$9 x - w = v x + y \quad x =$$

Solve for v (complex solution)

$$\left\{\begin{matrix}v=-y-\frac{w}{x}+9\text{, }&x\neq 0\\v\in \mathrm{C}\text{, }&x=0\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$vx+yx=9x-w$$

Subtract yx from both sides.

$$vx=9x-w-yx$$

The equation is in standard form.

$$xv=-xy+9x-w$$

Divide both sides by x.

$$\frac{xv}{x}=\frac{-xy+9x-w}{x}$$

Dividing by x undoes the multiplication by x.

$$v=\frac{-xy+9x-w}{x}$$

Divide 9x-w-yx by x.

$$v=-y-\frac{w}{x}+9$$

Solve for v

$$\left\{\begin{matrix}v=-y-\frac{w}{x}+9\text{, }&x\neq 0\\v\in \mathrm{R}\text{, }&x=0\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$vx+yx=9x-w$$

Subtract yx from both sides.

$$vx=9x-w-yx$$

The equation is in standard form.

$$xv=-xy+9x-w$$

Divide both sides by x.

$$\frac{xv}{x}=\frac{-xy+9x-w}{x}$$

Dividing by x undoes the multiplication by x.

$$v=\frac{-xy+9x-w}{x}$$

Divide 9x-w-yx by x.

$$v=-y-\frac{w}{x}+9$$

Solve for w

$$w=x\left(9-v-y\right)$$

Steps for Solving Linear Equation

Subtract 9x from both sides.

$$-w=vx+yx-9x$$

The equation is in standard form.

$$-w=vx+xy-9x$$

Divide both sides by -1.

$$\frac{-w}{-1}=\frac{x\left(y+v-9\right)}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$w=\frac{x\left(y+v-9\right)}{-1}$$

Divide x\left(-9+v+y\right) by -1.

$$w=-x\left(y+v-9\right)$$