Question

Solve the pair of equations
2/x+3/y=13
5/x-4/y=-2​

Answer 1

Answer:

x = 1/2 , y = 1/3

Step-by-step explanation:

Given: 2/x + 3/y = 13 -------(i)

5/x - 4/y = -2 -------(ii)

now 4×eq(i) + 3×eq(ii) :

8/x + 12/y + 15/x - 12/y = 52 - 6

=> 23/x = 46

=> 1/x = 2 -----------------(iii)

=> x = 1/2 ;

now put the value of eq(iii) in eq (i):

2×2 + 3/y = 13

=> 4 + 3/y = 13

=> 3/y = 9

=> y = 1/3 ;

therefore x = 1/2 and y = 1/3 .

Answer 2

Answer:

the solution for the given problem is (1/2,1/3)