Solve k/w(s-r)=V

$$\frac { k } { w ( s - r ) } = V$$

Solve for V

$$V=-\frac{k}{w\left(r-s\right)}$$

$$s\neq r\text{ and }w\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by w\left(-r+s\right).

$$k=Vw\left(-r+s\right)$$

Use the distributive property to multiply Vw by -r+s.

$$k=-Vwr+Vws$$

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

$$-Vwr+Vws=k$$

Combine all terms containing V.

$$\left(-wr+ws\right)V=k$$

The equation is in standard form.

$$\left(sw-rw\right)V=k$$

Divide both sides by -wr+ws.

$$\frac{\left(sw-rw\right)V}{sw-rw}=\frac{k}{sw-rw}$$

Dividing by -wr+ws undoes the multiplication by -wr+ws.

$$V=\frac{k}{sw-rw}$$

Divide k by -wr+ws.

$$V=\frac{k}{w\left(s-r\right)}$$

Solve for k

$$k=-Vw\left(r-s\right)$$

$$s\neq r\text{ and }w\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{w\left(s-r\right)}k=V$$

Divide both sides by w^{-1}\left(s-r\right)^{-1}.

$$\frac{\frac{1}{w\left(s-r\right)}kw\left(s-r\right)}{1}=\frac{Vw\left(s-r\right)}{1}$$

Dividing by w^{-1}\left(s-r\right)^{-1} undoes the multiplication by w^{-1}\left(s-r\right)^{-1}.

$$k=\frac{Vw\left(s-r\right)}{1}$$

Divide V by w^{-1}\left(s-r\right)^{-1}.

$$k=Vw\left(s-r\right)$$