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