Question

x+2/x+1=1-1/x-3 give the correct answer
answer is 5/2​

Answer 1

Answer:

Given:-

$\frac{x + 2}{x + 1} = 1 - \frac{1}{x - 3}$

Solution:-

$= (x + 2)(x - 3) = 1(x + 1)(x - 3) - 1(x + 1)$

$= {x}^{2} - x - 6 = {x}^{2} - 2x -3 - x - 1$

$x^2 \: \: got \: \: cancelled$

= -x-6= -3x-4

= -x+3x= -4+6

2x=2

x=1

Verification:-

$\frac{(1 + 2)}{(1 + 1)} = 1 - \frac{1}{1 - 3}$

$= \frac{3}{2} = 1 - \frac{1}{ - 2}$

- got cancelled

$\frac{3}{2} = 1 + \frac{1}{2}$

$\frac{3}{2} = \frac{2 + 1}{2}$

$\frac{3}{2} = \frac{3}{2}$

Since,

LHS=RHS

Hence,

The given solution:

x=1

Kindly check your question as I have also verified there must be mistake in the question you can check according to your question answer should come 1 not 5/2.