Question

2/x-2/y=15,2/x+5/y=77​

Answer 1

Answer:

x = 14/229 and y = 7/62

Step-by-step explanation:

2/x - 2/y = 15

Taking LCM, we get

2y - 2x = 15xy --- (i)

And,

2/x + 5/y = 77

Taking LCM , we get

2y + 5x = 77xy ----(ii)

Subtracting eqn. (i) & (ii) , we get

- 7x = - 62xy

7 = 62y

y = 7/62

Putting y = 7/62 in eqn. (i), we get

2(7/62) - 2x = 15x(7/62)

7/31 - 2x = 105x/62

7/31 = 105x/62 + 2x

Taking LCM on RHS, we get

7/31 = 229x / 62

Cross multiplying, we get

7 x 62 = 229x x 31

x = 14/229