Question

X +1 / X - 1 = 2 / 3

Answer 1

X+1=2x-2
x-2x=-2-1
-x=3
x=3

Answer 2

To solve the equation (X + 1) / (X - 1) = 2 / 3, we can use cross-multiplication.

First, we can cross-multiply both sides of the equation:

3(X + 1) = 2(X - 1)

Expanding the brackets, we get:

3X + 3 = 2X - 2

Now we can simplify the equation by moving all the X terms to one side and all the constant terms to the other side:

3X - 2X = -2 - 3

X = -5

Therefore, the solution to the equation is X = -5.

We can check this by substituting X = -5 back into the original equation:

(X + 1) / (X - 1) = ( -5 + 1) / (-5 - 1) = -4 / -6 = 2 / 3

So the solution is correct.