Question

2/x+5/y=1and 3/x+2/y=19/20​

Answer 1

Answer:

let 1/x be a

and 1/y be b

2/x + 5/y = 1

2a + 5b = 1 -(1)

3/x + 2/y = 19/20

3a + 2b = 19/20

60a + 40b = 19 -(2)

eq(1)x8 - eq(2)

-44a = -18

a = 18/44

a = 9/22

substitute the value in eq(1)

2(9/22) + 5b= 1

9/11 + 5b= 1

9 + 55b = 11

55b = 2

b = 2/55

1/x = a

x= 1/a

x= 22/9

1/y = b

y = 1/b

y= 55/2