Question

1/5x+9/y=4,3/x+27/y=24​

Answer 1

Step-by-step explanation:

let 1/x = a

1/y =b

a/5 + b/9 = 4

9a + 5b / 45 = 4

9a + 5b = 180 ......(i)

3a + 27 b = 24

a+ 9b = 8 ......(ii)

LCM of 9 and 1 = 9

for making a = 9a multiply by 9 in (ii)

(a+ 9b = 8 ) * 9

9a + 81b = 72 ......(iii)

subtract (i) from (iii),

(9a + 81b = 72) - (9a + 5b = 180)

76 b = -108

b= -108 / 76

putting value of B in (ii)

a - 972/76 = 8

76a - 972 /76 = 8

76a - 972 = 598

76a = 598 + 972

76a = 1570

a = 1570 / 76

we have assumed,

1/x = a

1/x = 1570/76

1570x = 76

x = 76 / 1570

we have assumed,

1/y = b

1/b = -108 /76

-108 b = 76

b = -76 / 108

x = 76 / 1570

b = -76 / 108