Solve 3Px=5Rx

$$3Px = 5Rx$$

Solve for P (complex solution)

$$\left\{\begin{matrix}\\P=\frac{5R}{3}\text{, }&\text{unconditionally}\\P\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$3xP=5Rx$$

Divide both sides by 3x.

$$\frac{3xP}{3x}=\frac{5Rx}{3x}$$

Dividing by 3x undoes the multiplication by 3x.

$$P=\frac{5Rx}{3x}$$

Divide 5Rx by 3x.

$$P=\frac{5R}{3}$$

Solve for R (complex solution)

$$\left\{\begin{matrix}\\R=\frac{3P}{5}\text{, }&\text{unconditionally}\\R\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$5Rx=3Px$$

The equation is in standard form.

$$5xR=3Px$$

Divide both sides by 5x.

$$\frac{5xR}{5x}=\frac{3Px}{5x}$$

Dividing by 5x undoes the multiplication by 5x.

$$R=\frac{3Px}{5x}$$

Divide 3Px by 5x.

$$R=\frac{3P}{5}$$

Solve for P

$$\left\{\begin{matrix}\\P=\frac{5R}{3}\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$3xP=5Rx$$

Divide both sides by 3x.

$$\frac{3xP}{3x}=\frac{5Rx}{3x}$$

Dividing by 3x undoes the multiplication by 3x.

$$P=\frac{5Rx}{3x}$$

Divide 5Rx by 3x.

$$P=\frac{5R}{3}$$

Solve for R

$$\left\{\begin{matrix}\\R=\frac{3P}{5}\text{, }&\text{unconditionally}\\R\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$5Rx=3Px$$

The equation is in standard form.

$$5xR=3Px$$

Divide both sides by 5x.

$$\frac{5xR}{5x}=\frac{3Px}{5x}$$

Dividing by 5x undoes the multiplication by 5x.

$$R=\frac{3Px}{5x}$$

Divide 3Px by 5x.

$$R=\frac{3P}{5}$$