Question

2/y-1+3/y+1=5/y find the value of y

Answer 1

Step-by-step explanation:

This is the correct answer.

Answer 2

Answer:

y = 5

Step-by-step explanation:

$\frac{2}{y - 1} + \frac{3}{y + 1} = \frac{5}{y} \\ \\ = > \frac{2(y + 1) + 3(y - 1)}{(y - 1)(y + 1)} = \frac{5}{y} \\ \\ = > \frac{2y + 2 + 3y - 3}{ {y}^{2} - {1}^{2} } = \frac{5}{y} \\ (by \: using \: formula(x + y)(x - y) = {x}^{2} - {y}^{2} ) \\ = > \frac{2y + 3y + 2 - 3}{ {y}^{2} - 1 } = \frac{5}{y} \\ \\ = > \frac{5y - 1}{ {y}^{2} - 1 } = \frac{5}{y} \\ (after \: cross \: multiplication) \\ = > y(5y - 1) = 5( {y}^{2} - 1) \\ = > 5 {y}^{2} - y = 5 {y}^{2} - 5 \\ = > 5 {y}^{2} - 5 {y}^{2} - y = - 5 \\ = > - y = - 5 \\ = > - y \times - 1 = - 5 \times - 1 \\ = > y = 5$

Hence the value of y = 5

hope it helps.