Question

3 / 2 X + 2 / 3 y is equals 5, 5 / X - 3 / y = 1 solve this sum

Answer 1

Step-by-step explanation:

let 1/x = a 1/y = b

3/2x = 3a/2

2/3y = 2b/3

according to question

3/2x + 2/3y = 5 ......(i)

3a/2 + 2b/3 =5

9a + 4b/6 = 5

9a +4b = 30 .........(ii)

5/x - 3/y = 1

5a - 3b = 1 ..........(iii)

from (ii) and (iii)

9a + 4b = 30 (ii)

5a - 3b =1 (iii)

LCM of 4 and 3 is 12

for making 4b = 12 b multiply by 3 in (i)

for making 3b = 12b multiply by 4 in (ii)

(9a + 4b = 30) * 3 ......... (iv)

(5a-3b = 1) *4 .........(v)

27a + 12b = 90 (vi)

20a -12b = 4 (vii)

Add (vi) and (vii)

47a = 94

a = 2

putting value of a in (vii)

40 -12b = 4

12b = 36

b = 36/12 = 3

we have assumed 1/x = a

1/x = 2

2x =1

x = 1/2

we have assumed 1/y = b

1/y = 3

3y = 1

y = 1/3

X = 1/2

Y = 1/3