Question

2/x + 3/y = 13 ; 5/x + 7/y = 31

Answer 1

Answer:

x = 1/2   & y = 1/3

Step-by-step explanation:

2/x + 3/y = 13 ; 5/x + 7/y = 31

Let say 1/x  = a    &  1/ y = b

2/x + 3/y = 13  will be  

2a  + 3b = 13    - eq  1

5/x + 7/y = 31  will be  

5a + 7b  = 31    - eq  2

5 * eq 1   - 2 * eq 2

b = 3

putting b = 3 in eq 1

2a + 3*3 = 13

=> 2a = 4

=> a = 2

1/x = a  => x  = 1/a  =  1/2

1/y = b  => y  = 1/b  =  1/3

x = 1/2   & y = 1/3