plss guys solve this question
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SOLUTION:-
2/x + 3/y = 9/xy . 4/x +9/y = 21/xy
(3x+2y)xy =9/xy , (9x+4y) = 21/xy
3x+2y = 9 .......(1) , 9x+4y = 21..........(2)
maltiply by eq(1)×3 -eq(2)
9x+6y = 27
9x+4y = 21
______________ subtraction
2y = 6
y = 3
y's value puting in eq(1)
3x+2×3= 9
3x = 9-6
x= 3/3
x =1
(x,y)=(1,3)ans
Answered by
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Hey
consider 1/x = p and 1/y = q
p - 4q = 2 .... (1)
p + 3q = 9 ..... (2)
(1) - (2)
-4q - 3q = 2 - 9
-7q = -7
q = 1
sub q in (1) or (2)
p - 4(1) = 2
p - 4 = 2
p = 4 +2
p = 6
AS WE ALREADY SAID
1/x = p
1/x = 6
6x = 1
x = 1/6
1/y = q
1/y = 1
y = 1
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