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How solve system 1/(x-y)-1/(x+y)=1, 1/(x-y)+1/(x+y)=2 ? don't eliminate x,y
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The given equations can be solved by the method of substitution as follows:
`1/(x-y)-1/(x+y)=1` .............(i) and
From eqn (i), `1/(x-y)=1+1/(x+y)`
Substitute this value in eqn. (ii),
`rArr x+y=2` --- (iii)
Again substitute this value of (x+y) in eqn. (i),
`rArr x-y=2/3` --- (iv)
Again, from eqn. (iii), it follows that x=(2-y)
substitute this value of x in eqn. (iv),
Therefore, solving the given equations by the method of substitution yields x=4/3, y=2/3.
Posted by llltkl on July 21, 2013 at 3:02 PM (Answer #1)
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