Question

3/y-2 - 2/y-3 = 1/ y-5​

Answer 1

Answer:

y = 19/5

Step-by-step explanation:

3/y - 2 - 2/y - 3 = 1/y -5

3(y -3) -2(y -2) / (y -2)(y -3) = 1/y-5

3y-9-2y+4/y^2-3y-2y+6 = 1/y-5

y- 5/y^2 - 5y +6 = 1/y -5

(y -5)^2 =y^2 - 5y + 6

y^2 + 25 - 10y =y^2 - 5y +6

- 10y +5y = 6-25

- 5y = - 19

y = 19/5