Question

(x+3) : (x+11) = (x-2) : (x+1)​

Answer 1

Answer:

$\frac{(x + 3)}{(x + 11)} = \frac{(x - 2)}{(x + 1)} \\ \\ = > (x + 3)(x + 1) = (x + 11) (x - 2) \\ \\ = > {x}^{2} + x + 3x + 3 = {x}^{2} - 2x + 11x - 22 \\ \\ = > {x}^{2} + 4x + 3 = {x}^{2} + 9x - 22 \\ \\ = > {x}^{2} - {x}^{2} + 4x - 9x = - 22 - 3 \\ \\ = > 4x - 9x = - 25 \\ \\ = > - 5x = - 25 \\ \\ = > 5x = 25 \\ \\ ( - \: and \: - \: cancelled) \\ \\ = > x = \frac{25}{5} \\ \\ = > x = 5$

hope this much helps uh ❣️