solve the following pair of equation
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ananthaanchan11:
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Solñ: 5/x+y-2/x-y=-1...............................(1)
15/x+y+7/x-y=10......................................(2)
Let,
1/x+y=a, 1/x-y=b
(1)»5a-2b=-1.........(3)
(2)»15a+7b=10.....(4)
(1)×3»15a-6b=-3........(5)
(4)-(5)»13b=13
»b=13/13=1
(3)»5a-2×1=-1
»5a=-1+2
»a=1/5
:. 1/x+y=a
»1/x+y=1/5
»x+y=5.....(6)
Again,
1/x-y=b
»1/x-y=1
»x-y=1........(7)
(6)+(7)»2x=6
»x=6/2=3
(6)»3+y=5
»y=5-3=2..........I hope you're helpful ........
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