Solve P+P*T*5/100=2P

$$P + \frac { P \times T \times 5 } { 100 } = 2 P$$

Solve for P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&T=20\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$100P+PT\times 5=200P$$

Subtract 200P from both sides.

$$100P+PT\times 5-200P=0$$

Combine 100P and -200P to get -100P.

$$-100P+PT\times 5=0$$

Combine all terms containing P.

$$\left(-100+T\times 5\right)P=0$$

The equation is in standard form.

$$\left(5T-100\right)P=0$$

Divide 0 by -100+5T.

$$P=0$$

Solve for T

$$\left\{\begin{matrix}\\T=20\text{, }&\text{unconditionally}\\T\in \mathrm{R}\text{, }&P=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$100P+PT\times 5=200P$$

Subtract 100P from both sides.

$$PT\times 5=200P-100P$$

Combine 200P and -100P to get 100P.

$$PT\times 5=100P$$

The equation is in standard form.

$$5PT=100P$$

Divide both sides by 5P.

$$\frac{5PT}{5P}=\frac{100P}{5P}$$

Dividing by 5P undoes the multiplication by 5P.

$$T=\frac{100P}{5P}$$

Divide 100P by 5P.

$$T=20$$