Solve RPhi=p*100/T*ST

$$R \Phi = \frac { p \times 100 } { T \times S T }$$

Solve for R

$$\left\{\begin{matrix}R=\frac{100p}{S\Phi T^{2}}\text{, }&T\neq 0\text{ and }S\neq 0\text{ and }\Phi \neq 0\\R\in \mathrm{R}\text{, }&p=0\text{ and }\Phi =0\text{ and }T\neq 0\text{ and }S\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by ST^{2}.

$$R\Phi ST^{2}=p\times 100$$

Reorder the terms.

$$RS\Phi T^{2}=100p$$

The equation is in standard form.

$$S\Phi T^{2}R=100p$$

Divide both sides by S\Phi T^{2}.

$$\frac{S\Phi T^{2}R}{S\Phi T^{2}}=\frac{100p}{S\Phi T^{2}}$$

Dividing by S\Phi T^{2} undoes the multiplication by S\Phi T^{2}.

$$R=\frac{100p}{S\Phi T^{2}}$$

Solve for S

$$\left\{\begin{matrix}S=\frac{100p}{R\Phi T^{2}}\text{, }&p\neq 0\text{ and }T\neq 0\text{ and }\Phi \neq 0\text{ and }R\neq 0\\S\neq 0\text{, }&\left(\Phi =0\text{ or }R=0\right)\text{ and }p=0\text{ and }T\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable S cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ST^{2}.

$$R\Phi ST^{2}=p\times 100$$

Reorder the terms.

$$RS\Phi T^{2}=100p$$

The equation is in standard form.

$$R\Phi T^{2}S=100p$$

Divide both sides by R\Phi T^{2}.

$$\frac{R\Phi T^{2}S}{R\Phi T^{2}}=\frac{100p}{R\Phi T^{2}}$$

Dividing by R\Phi T^{2} undoes the multiplication by R\Phi T^{2}.

$$S=\frac{100p}{R\Phi T^{2}}$$

Variable S cannot be equal to 0.

$$S=\frac{100p}{R\Phi T^{2}}\text{, }S\neq 0$$