Question

Find x and y:
1/x+4/y=1/15 (i)
1/x+2/y=1/24 (ii) ​

Answer 1

Step-by-step explanation:

1/x+4/y=1/15............(1)

1/x+2/y=1/24.............(2)

substituting 1/x=m and 1/y=n

m+4n=1/15

m+4n/1=1/15

15m+60n=1..............(3)

m+2n=1/24

m+2n/1=1/24

24m+48n=1................(4)

multiplying eqn. (3) by 48 and eqn. (4) by 60

720m+2880n=48...........(5)

1440m+2880n=60...........(6)

subtracting eqn. (6) and eqn. (5)

1440m+2880n= 60

720m+2880n= 48

_ _ _

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720m = 12

m=12/720

m=1/60

substituting m=1/60 in eqn. (5)

720x1/60+2880n=48

12+2880n=48

2880n=48-12

2880n=36

n=36/2880

n=1/80

Resubstituting 1/x=m and 1/y=n

1/x=1/60 and 1/y=1/80

x=60 and y=80

Hope it helps you.