Question

5/x+1-2/y-1=1/2 10/x+1+2/y-1=5/2 by by reducing them to pair of linear equation​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer :

x = 4 , y = 5

Solution :

Here ,

The given equations are ;

5/(x + 1) - 2/(y - 1) = 1/2

10/(x + 1) + 2/(y - 1) = 5/2

Putting 1/(x + 1) = a and 1/(y - 1) = b , the given equations will be reduced to linear equations as follow ;

5a - 2b = 1/2 --------(1)

10a + 2b = 5/2 ----------(2)

Now ,

Adding eq-(1) and (2) , we get ;

=> 5a - 2b + 10a + 2b = 1/2 + 5/2

=> 15a = (1 + 5)/2

=> 15a = 6/2

=> 15a = 3

=> a = 3/15

=> a = 1/5

=> 1/(x + 1) = 1/5

=> x + 1 = 5

=> x = 5 - 1

=> x = 4

Now ,

Putting a = 1/5 in eq-(1) , we get ;

=> 5a - 2b = 1/2

=> 5•(1/5) - 2b = 1/2

=> 1 - 2b = 1/2

=> 2b = 1 - 1/2

=> 2b = (2 - 1)/2

=> 2b = 1/2

=> b = 1/(2•2)

=> b = 1/4

=> 1/(y - 1) = 1/4

=> y - 1 = 4

=> y = 4 + 1

=> y = 5

Hence ,

x = 4 , y = 5