Question

2/x +2/3y = 1/6 ; 3/x +4/y =1/-2​

Answer 1

Let 1/x = a

Let 1/y = b

Therefore

2a+2b/3= 1/6

12a+4b=1 .....eq.1

3a+4b=-1/2

6a+8b=-1....... eq.2

Multiplying equation 1 by 2

24a+8b=2......eq.3

now subtracting eq 2 and eq 3

6a+8b=-1

24a+8b=2

-. -. -

-18a = -3

a= 1/6

Substitution of a in eq.1

12×1/6+4b=7

b= 5/ 4

Since 1/x = a

1/x= 1/6

x = 6

Since 1/y = b

1/y = 5/4

y= 4/5

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