Binary linear equation 2 / x + 3 / y = 2 / 13, 3 / x-4 / y = 2 / 3

Binary linear equation 2 / x + 3 / y = 2 / 13, 3 / x-4 / y = 2 / 3

x/2+y/3=13/2
That is 3x + 2Y = 39 (1)
x/3-y/4=3/2
That is 4x-3y = 18 (2)
(1)×3+(2)×2
9x+8x=117+36
17x=153
x=9
y=(4x-18)/3=6