(x/3)-(2/y) = 1 এবং (x/4)+(3/y) = 3 হলে, (x,y) = কত?

A (2,5)

B (4,3)

C (2,6)

D (6,2)

Correct Answer: Option D

x/3 - 2/y = 1.......(1)

x/4 + 3/y = 3........(2)

(1) * 1/4 - (2) * 1/3 হতে পাই

x/12 - 1/2y = 1/4

x/12 + 1/y = 1

___________________

(-) (-) (-)

- 1/2y - 1/y = 1/4 - 1 => -1 - 2/2y = 1-4/4

=> -3/2y = -3/4 => 1/2y = 1/4

=> 2y = 4

y = 2

(1) => x/3 - 2/2 = 1 => x/3 = 1+1 => x/3 = 2

x = 6

(x, y) = (6,2)