Solve x=P((1-y)

$$x = P ( ( 1 - y )$$

Solve for P (complex solution)

$$\left\{\begin{matrix}P=-\frac{x}{y-1}\text{, }&y\neq 1\\P\in \mathrm{C}\text{, }&x=0\text{ and }y=1\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply P by 1-y.

$$x=P-Py$$

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

$$P-Py=x$$

Combine all terms containing P.

$$\left(1-y\right)P=x$$

Divide both sides by 1-y.

$$\frac{\left(1-y\right)P}{1-y}=\frac{x}{1-y}$$

Dividing by 1-y undoes the multiplication by 1-y.

$$P=\frac{x}{1-y}$$

Solve for P

$$\left\{\begin{matrix}P=-\frac{x}{y-1}\text{, }&y\neq 1\\P\in \mathrm{R}\text{, }&x=0\text{ and }y=1\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply P by 1-y.

$$x=P-Py$$

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

$$P-Py=x$$

Combine all terms containing P.

$$\left(1-y\right)P=x$$

Divide both sides by 1-y.

$$\frac{\left(1-y\right)P}{1-y}=\frac{x}{1-y}$$

Dividing by 1-y undoes the multiplication by 1-y.

$$P=\frac{x}{1-y}$$

Solve for x

$$x=P\left(1-y\right)$$

Solution Steps

Use the distributive property to multiply P by 1-y.

$$x=P-Py$$