1-r/1+r = 2/3

THAT IS NOT CORRECT EQUATION!!!

r/1=r
1-r/1+r=1-r+r=2/3
1=2/3 THAT IS NOT CORRECT

solving for r,,

(1-r)/(1+r) = 2/3
*do cross multiplication: (1+r) is multiplied by 2, then 3 is multiplied by (1-r):
3(1-r) = 2(1+r)
3 - 3r = 2 + 2r
*transpose similar terms to one side of equation (all terms with r on left side, and constants on right side):
-2r - 3r = 2 - 3
-5r = -1
r = 1/5

so there,, :)

To solve the equation 1 - r / 1 + r = 2 / 3, we can follow these steps:

Step 1: Remove the fractions by cross-multiplying:
(1 - r) * 3 = (1 + r) * 2

Step 2: Expand the expressions:
3 - 3r = 2 + 2r

Step 3: Move all the variables to one side of the equation, and the constants to the other side:
-3r - 2r = 2 - 3

Step 4: Simplify the equation:
-5r = -1

Step 5: Divide both sides of the equation by -5 to solve for r:
r = (-1) / (-5)

Step 6: Simplify the fraction:
r = 1/5

So the solution to the equation 1 - r / 1 + r = 2 / 3 is r = 1/5.