Question

the value of x and y in x+y/xy=7 and 3x+2y/xy=17 ​

Answer 1

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Answer 2

Given : (x + y)/xy = 7 , (3x + 2y)/xy = 17

x and y are not equal to zero

To Find : x and y

Solution:

(x + y)/xy = 7

=>  x + y = 7xy  Eq1

(3x + 2y)/xy = 17

=> 3x + 2y  = 17xy   Eq2

Eq2 - 2 * Eq1

=> x  = 3xy

=> 1 = 3y

=> y = 1/3

Eq2 - 3 * Eq1

=>  -y  = -4xy

=> x = 1/4

x = 1/4  and y = 1/3

Learn More:

Solve the following x+y/xy=5 and x-5/xy=7

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