eliminate
5/X -3/y =1
3/2x+2/3y=5
(where X cannot be zero and y cannot be zero)
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let 1/X = a , 1/y = b
:. 5a-3b = 1 ---------(eq1)
:. 3a/2 + 2b/3 = 5
=> 6a+6b/6 = 5
a+b= 5----------(eq2)
multiply (eq2) with 3 and add to (eq1)
=> 5a-3b = 1
3a+3b = 15
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8a = 16
a = 2 then
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from (eq2)
a+b = 3
2+b = 3
b = 1
now a = 1/X
:. X = 1/a
X = 1/2
now b = 1/y
:. y = 1/b
:. y = 1/1 = 1
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