CBSE Class 10 Answered

27/x-2+31/y+3=85,31/x-2+27/y+3=89

Asked by amarsgosavi | 28 Apr, 2019, 10:50: PM

Expert Answer

begin mathsize 16px style fraction numerator 27 over denominator straight x minus 2 end fraction plus fraction numerator 31 over denominator straight y plus 3 end fraction equals 85 fraction numerator 31 over denominator straight x minus 2 end fraction plus fraction numerator 27 over denominator straight y plus 3 end fraction equals 89 Let space fraction numerator 1 over denominator straight x minus 2 end fraction equals straight X space and space fraction numerator 1 over denominator straight y plus 3 end fraction equals straight Y 27 straight X plus 31 straight Y equals 85.... left parenthesis straight i right parenthesis 31 straight X plus 27 straight Y equals 89.... left parenthesis ii right parenthesis Adding space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis straight X plus straight Y equals 3..... left parenthesis iii right parenthesis Subtracting space left parenthesis ii right parenthesis space from space left parenthesis straight i right parenthesis minus straight X plus straight Y equals negative 1.... left parenthesis iv right parenthesis Solving space left parenthesis iii right parenthesis space and space left parenthesis iv right parenthesis space we space get space straight X equals 2 space and space straight Y equals 1 fraction numerator begin display style 1 end style over denominator begin display style straight x minus 2 end style end fraction equals straight X space and space fraction numerator begin display style 1 end style over denominator begin display style straight y plus 3 end style end fraction equals straight Y fraction numerator begin display style 1 end style over denominator begin display style straight x minus 2 end style end fraction equals 2 space and space fraction numerator begin display style 1 end style over denominator begin display style straight y plus 3 end style end fraction equals 1 Solving space these space euqations space we space get space straight x equals 5 over 2 space and space straight y equals negative 2 end style

Answered by Sneha shidid | 29 Apr, 2019, 09:42: AM

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