Question

please answer fast...

Answer 1

Answer:

$\frac{4}{x + 1} + \frac{5}{x + 3} = \frac{9}{x + 2} \\ \\ = > \frac{4(x + 3) + 5(x + 1)}{(x + 1)(x + 3)} = \frac{9}{x + 2} \\ \\ = > \frac{4x + 12 + 5x + 5}{x(x + 3) + 1(x + 3)} = \frac{9}{x + 2} \\ \\ = > \frac{4x + 5x + 12 + 5}{ {x}^{2} + 3x + x + 3 } = \frac{9}{x + 2} \\ \\ = > \frac{9x + 17}{ {x}^{2} + 4x + 3} = \frac{9}{x + 2} \\ (after \: cross \: multiplication) \\ = > (x + 2)(9x + 17) = 9( {x}^{2} + 4x + 3) \\ = > x(9x + 17) + 2(9x + 17) = 9 {x}^{2} + 36x + 27 \\ = > 9 {x}^{2} + 17x + 18x + 34 = {9x}^{2} + 36x +27 \\ = > 9 {x}^{2} + 35x + 34 = 9 {x}^{2} + 36x + 27 \\ = > 9 {x}^{2} - 9 {x}^{2} + 35x + 34 = 36x + 27 \\ = > 35x + 34 - 27 = 36x \\ = > 34 - 27 = 36x - 35x \\ = > 7 = x \\ = > x = 7$

hope it helps.