Question

x + y = 5xy
3x+2y = 13xy​

Answer 1

Answer:

x = 1/2 , y=1/3

Step-by-step explanation:

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Answer 2

Answer: x= 1/2 , y= 1/3

Step-by-step explanation:

x+y= 5xy

=> x/xy + y/xy = 5xy/xy

=> 1/x + 1/y = 5.....(i)

3x+ 2y= 13xy

=> 3x/xy + 2y/xy = 13xy/xy

=> 3x +2y= 13.......(ii)

Let 1/x =a, 1/y=b

a+b=5 => a= 5-b

3a+2b=13

3(5-b)+2b=13

15-3b+2b=13

15-13=3b-2b

2=b

a=5-b => a=5-2=> a=3

Since, 1/x=a =>1/x=3 => x=1/3

&. 1/y=b => 1/y=2 => y= 1/2

Hence proved