Solve SI_{1}=Rs5000*5*1/100

$$SI _ { 1 } = Rs \frac { 5000 \times 5 \times 1 } { 100 }$$

Solve for I_1 (complex solution)

$$\left\{\begin{matrix}I_{1}=\frac{250Rs}{S}\text{, }&S\neq 0\\I_{1}\in \mathrm{C}\text{, }&\left(s=0\text{ or }R=0\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$100SI_{1}=Rs\times 5000\times 5\times 1$$

Multiply 5000 and 5 to get 25000.

$$100SI_{1}=Rs\times 25000\times 1$$

Multiply 25000 and 1 to get 25000.

$$100SI_{1}=Rs\times 25000$$

The equation is in standard form.

$$100SI_{1}=25000Rs$$

Divide both sides by 100S.

$$\frac{100SI_{1}}{100S}=\frac{25000Rs}{100S}$$

Dividing by 100S undoes the multiplication by 100S.

$$I_{1}=\frac{25000Rs}{100S}$$

Divide 25000Rs by 100S.

$$I_{1}=\frac{250Rs}{S}$$

Solve for R (complex solution)

$$\left\{\begin{matrix}R=\frac{I_{1}S}{250s}\text{, }&s\neq 0\\R\in \mathrm{C}\text{, }&\left(S=0\text{ or }I_{1}=0\right)\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$100SI_{1}=Rs\times 5000\times 5\times 1$$

Multiply 5000 and 5 to get 25000.

$$100SI_{1}=Rs\times 25000\times 1$$

Multiply 25000 and 1 to get 25000.

$$100SI_{1}=Rs\times 25000$$

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

$$Rs\times 25000=100SI_{1}$$

The equation is in standard form.

$$25000sR=100I_{1}S$$

Divide both sides by 25000s.

$$\frac{25000sR}{25000s}=\frac{100I_{1}S}{25000s}$$

Dividing by 25000s undoes the multiplication by 25000s.

$$R=\frac{100I_{1}S}{25000s}$$

Divide 100SI_{1} by 25000s.

$$R=\frac{I_{1}S}{250s}$$

Solve for I_1

$$\left\{\begin{matrix}I_{1}=\frac{250Rs}{S}\text{, }&S\neq 0\\I_{1}\in \mathrm{R}\text{, }&\left(s=0\text{ or }R=0\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$100SI_{1}=Rs\times 5000\times 5\times 1$$

Multiply 5000 and 5 to get 25000.

$$100SI_{1}=Rs\times 25000\times 1$$

Multiply 25000 and 1 to get 25000.

$$100SI_{1}=Rs\times 25000$$

The equation is in standard form.

$$100SI_{1}=25000Rs$$

Divide both sides by 100S.

$$\frac{100SI_{1}}{100S}=\frac{25000Rs}{100S}$$

Dividing by 100S undoes the multiplication by 100S.

$$I_{1}=\frac{25000Rs}{100S}$$

Divide 25000Rs by 100S.

$$I_{1}=\frac{250Rs}{S}$$

Solve for R

$$\left\{\begin{matrix}R=\frac{I_{1}S}{250s}\text{, }&s\neq 0\\R\in \mathrm{R}\text{, }&\left(S=0\text{ or }I_{1}=0\right)\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$100SI_{1}=Rs\times 5000\times 5\times 1$$

Multiply 5000 and 5 to get 25000.

$$100SI_{1}=Rs\times 25000\times 1$$

Multiply 25000 and 1 to get 25000.

$$100SI_{1}=Rs\times 25000$$

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

$$Rs\times 25000=100SI_{1}$$

The equation is in standard form.

$$25000sR=100I_{1}S$$

Divide both sides by 25000s.

$$\frac{25000sR}{25000s}=\frac{100I_{1}S}{25000s}$$

Dividing by 25000s undoes the multiplication by 25000s.

$$R=\frac{100I_{1}S}{25000s}$$

Divide 100SI_{1} by 25000s.

$$R=\frac{I_{1}S}{250s}$$