Solve -px+y=-8x-2-x

$$- p x + y = - 8 x - 2 - x$$

Solve for p (complex solution)

$$\left\{\begin{matrix}p=\frac{9x+y+2}{x}\text{, }&x\neq 0\\p\in \mathrm{C}\text{, }&x=0\text{ and }y=-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine -8x and -x to get -9x.

$$\left(-p\right)x+y=-9x-2$$

Subtract y from both sides.

$$\left(-p\right)x=-9x-2-y$$

Reorder the terms.

$$-px=-9x-y-2$$

The equation is in standard form.

$$\left(-x\right)p=-9x-y-2$$

Divide both sides by -x.

$$\frac{\left(-x\right)p}{-x}=\frac{-9x-y-2}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$p=\frac{-9x-y-2}{-x}$$

Divide -9x-y-2 by -x.

$$p=\frac{y+2}{x}+9$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{y+2}{9-p}\text{, }&p\neq 9\\x\in \mathrm{C}\text{, }&y=-2\text{ and }p=9\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine -8x and -x to get -9x.

$$\left(-p\right)x+y=-9x-2$$

Add 9x to both sides.

$$\left(-p\right)x+y+9x=-2$$

Subtract y from both sides.

$$\left(-p\right)x+9x=-2-y$$

Reorder the terms.

$$-px+9x=-y-2$$

Combine all terms containing x.

$$\left(-p+9\right)x=-y-2$$

The equation is in standard form.

$$\left(9-p\right)x=-y-2$$

Divide both sides by -p+9.

$$\frac{\left(9-p\right)x}{9-p}=\frac{-y-2}{9-p}$$

Dividing by -p+9 undoes the multiplication by -p+9.

$$x=\frac{-y-2}{9-p}$$

Divide -y-2 by -p+9.

$$x=-\frac{y+2}{9-p}$$

Solve for p

$$\left\{\begin{matrix}p=\frac{9x+y+2}{x}\text{, }&x\neq 0\\p\in \mathrm{R}\text{, }&x=0\text{ and }y=-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine -8x and -x to get -9x.

$$\left(-p\right)x+y=-9x-2$$

Subtract y from both sides.

$$\left(-p\right)x=-9x-2-y$$

Reorder the terms.

$$-px=-9x-y-2$$

The equation is in standard form.

$$\left(-x\right)p=-9x-y-2$$

Divide both sides by -x.

$$\frac{\left(-x\right)p}{-x}=\frac{-9x-y-2}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$p=\frac{-9x-y-2}{-x}$$

Divide -9x-y-2 by -x.

$$p=\frac{y+2}{x}+9$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{y+2}{9-p}\text{, }&p\neq 9\\x\in \mathrm{R}\text{, }&y=-2\text{ and }p=9\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine -8x and -x to get -9x.

$$\left(-p\right)x+y=-9x-2$$

Add 9x to both sides.

$$\left(-p\right)x+y+9x=-2$$

Subtract y from both sides.

$$\left(-p\right)x+9x=-2-y$$

Reorder the terms.

$$-px+9x=-y-2$$

Combine all terms containing x.

$$\left(-p+9\right)x=-y-2$$

The equation is in standard form.

$$\left(9-p\right)x=-y-2$$

Divide both sides by -p+9.

$$\frac{\left(9-p\right)x}{9-p}=\frac{-y-2}{9-p}$$

Dividing by -p+9 undoes the multiplication by -p+9.

$$x=\frac{-y-2}{9-p}$$

Divide -y-2 by -p+9.

$$x=-\frac{y+2}{9-p}$$