Question

find the value of y using componendo and dividendo rule y+5 upon y-5=2 upon 3​

Answer 1

$Given \: \: Question \: is \\ \\ \frac{(y + 5)}{(y - 5)} = \frac{2}{3} \\ find \: y \: by \: using \: c \: and \: d \: rule \\ \\ for \: a \: fraction \: like \: this \\ \\ \frac{x}{y} = \frac{a}{b} \: \:...equation\:\:(01)\\ \\ c \: and \: d \: for \: equation \: 01 \: is \\ \\ \frac{(x + y)}{(x - y)} = \frac{(a + b)}{(a - b)} \\ \\ Answer \: \\ \\ \frac{(y + 5) + (y - 5)}{(y + 5) -(y - 5) } = \frac{(2 + 3)}{(2 - 3)} \\ \\ \frac{2y}{10} = \frac{5}{ - 1} \\ \\ \frac{y}{5} = - 5 \\ \\ y = - 25 \\ \\ therefore \: \: value \: of \: y \: is \: \: \: - 25$