Question

1/x-1+ 2/x-2= 3/x-3​

Answer 1

Answer:

3/2

Step-by-step explanation:

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

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

$\frac{3x - 4}{ {x}^{2} - 3x + 2} = \frac{3}{x - 3}$

${3x}^{2} - 9x + 6 = {3x}^{2} - 4x - 9x + 12$

$- 9x + 6 = - 4x + 12$

$5x = 6$

$x = \frac{5}{6}$