1.

Find the value of x,y in the linear equation - 6/x + y - 7/x - y =3 and 1/​

Answer»

Let 1/x + y = a , 1/x - y = b 

6a = 7b + 3 ---- (i)
 
a / 2 = b / 3 a = 2b / 3

Putting VALUE of a in (i) 
 6*2b/3 = 7b + 3  

4B = 7b + 3 
-3b = 3
 b = -1
 
a = -2/ 3 

x + y = - 3 / 2 ------- (iii) 
x - y = - 1 ----- (iv) 

(iii) + (iv) 
x + y + x - y = -3/2 - 1 

2x = -5/2 x = - 5 /4
 
y = - 1 /4 

Ans: x = - 5 / 4, y = - 1 / 4 


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