Make R the subject of the formula,V=2R/R-r?

To make R the subject of the formula V=2R/(R-r), we can follow these steps:

1. Multiply both sides of the equation by (R-r) to get rid of the denominator:
V(R - r) = 2R

2. Expand the left side of the equation:
VR - Vr = 2R

3. Move the term involving R to one side of the equation:
VR - 2R = Vr

4. Factor out R on the left side of the equation:
R(V - 2) = Vr

5. Divide both sides by (V - 2) to isolate R:
R = Vr / (V - 2)

Therefore, the formula for R in terms of V is R = Vr / (V - 2).

$$V=\frac{2R}{R-r}$$

Multiply both sides by R-r

$$VR-rV=2R$$

$$VR = 2R + rV$$

Factor out R on the right side

$$VR = R(2+v)$$

Divide both sides by V

$$R=2+\frac{rV}{V}$$

$$R=\frac{2V +rV}{V}$$

$$R=\frac{2V + rV}{V}$$

$$R=2+r$$