Solve similar equations?! HELP URGENT

5/x + 3/y = 1
2/x + 1/y = -1
solve for x and y

5/x + 3/y = 1..........5/x + 3/y = 1
-3(2/x+ 1/y = -1)...-6/x - 3/y = 3
...........................+__________
..............................-1/x + 0 = 4........-1/x= 4/1 .....-1*1 = x*4 ....4x = -1 so x = -1/4

2/(-1/4) + 1/y = -1.....................2÷ -1/4 becomes 2 * -4/1 = -8...division by fractions
-8 + 1/y = -1..................add 8
1/y = 7/1
1*1 = 7*y
7y = 1
y = 1/7

solution
(-1/4, 1/7)

You mean simultaneous, not similar.
-2(5/x + 3/y = 1)
-10/x - 6/y = -2
5(2/x + 1/y = -1)
10/x + 5/y = -5

-10/x - 6/y = -2
10/x + 5/y = -5
---------------------
-1/y = -7
y = 7
2/x + 1/7 = -1
2/x = -8/7
-7/4 = x