Qno 24 answer 24

Asked by sucharitasahoo1 | 24th Nov, 2017, 10:20: PM

Expert Answer:

begin mathsize 16px style fraction numerator 57 over denominator straight x plus straight y end fraction plus fraction numerator begin display style 6 end style over denominator straight x minus straight y end fraction equals 5 space space space space and space space space space space space fraction numerator begin display style 38 end style over denominator begin display style straight x plus straight y end style end fraction plus fraction numerator begin display style 21 end style over denominator straight x minus straight y end fraction equals 9
Let space space fraction numerator begin display style 1 end style over denominator begin display style straight x plus straight y end style end fraction equals straight u space and space fraction numerator begin display style 1 end style over denominator straight x minus straight y end fraction equals straight v
Then comma space we space have
57 straight u plus 6 straight v equals 5 space space space space space space space
6 straight v equals 5 minus 57 straight u
rightwards double arrow straight v equals fraction numerator 5 minus 57 straight u over denominator 6 end fraction space space space.... left parenthesis straight i right parenthesis
And comma space 38 straight u plus 21 straight v equals 9
rightwards double arrow 38 straight u plus 21 cross times fraction numerator 5 minus 57 straight u over denominator 6 end fraction equals 9 space space space space space space space.... left square bracket From space left parenthesis straight i right parenthesis right square bracket
rightwards double arrow 38 straight u plus fraction numerator 35 minus 399 straight u over denominator 2 end fraction equals 9
rightwards double arrow fraction numerator 76 straight u plus 35 minus 399 straight u over denominator 2 end fraction equals 9
rightwards double arrow negative 323 straight u plus 35 equals 18
rightwards double arrow straight u equals 1 over 19
rightwards double arrow straight v equals fraction numerator 5 minus 57 cross times begin display style 1 over 19 end style over denominator 6 end fraction equals 1 third
Now comma space fraction numerator 1 over denominator straight x plus straight y end fraction equals straight u equals 1 over 19 rightwards double arrow straight x plus straight y equals 19 space space space space space space space space space.... left parenthesis ii right parenthesis
And comma space fraction numerator begin display style 1 end style over denominator begin display style straight x minus straight y end style end fraction equals straight v equals fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction rightwards double arrow straight x minus straight y equals 3 space space space space space space space space space.... left parenthesis iii right parenthesis
Adding space left parenthesis ii right parenthesis space and space left parenthesis iii right parenthesis comma space we space get
2 straight x equals 22 rightwards double arrow straight x equals 11
rightwards double arrow straight y equals 19 minus straight x equals 19 minus 11 equals 8
Hence comma space straight x equals 11 space and space straight y equals 8 end style

Answered by Rashmi Khot | 27th Nov, 2017, 04:37: PM

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