Answer:
x = 44/19, y = 33/20
Explanation:
Multiply the first eq by 18, to get:
90/y - 36/x = 39
so 36/x = 90/y - 39
in this form we can plug it into the second eq:
90/y - 39 - 24/y = 1 =>
66/y = 40 =>
y = 66/40 = 33/20
Fill that in the first:
100/33 - 2/x = 13/6 =>
200/66 - 143/66 = 2/x =>
57/66 = 2/x =>
57x = 2*66
x = 132/57 = 44/19