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Asked by rickykumar00001 27th January 2016, 6:10 PM
Answered by Expert
Answer:

fraction numerator 4 x squared plus x y over denominator 3 x y minus y squared end fraction equals 12 over 5 20 x squared plus 5 x y space equals space 36 x y space minus space 12 y squared 20 x squared minus 31 x y space plus space 12 y squared space equals space 0 20 x squared minus 16 x y space minus space 15 x y plus space 12 y squared space equals space 0 left parenthesis 5 x minus 4 y right parenthesis left parenthesis 4 x minus 3 y right parenthesis space equals 0  T h u s comma 5 x minus 4 y space equals space 0 space o r space 4 x space minus space 3 y space equals space 0 H e n c e comma x over y equals 4 over 5 space o r space x over y equals 3 over 4  N o w comma fraction numerator x plus 2 y over denominator 2 x plus y end fraction space equals space fraction numerator begin display style x over y end style plus 2 over denominator 2 cross times begin display style x over y end style plus 1 end fraction space...... space left parenthesis D i v i d i n g space b o t h space n u m e r a t o r space a n d space d e n o m i n a t o r space b y space y right parenthesis  I f space x over y equals 4 over 5 comma fraction numerator x plus 2 y over denominator 2 x plus y end fraction space equals space fraction numerator begin display style 4 over 5 plus 2 end style over denominator 2 cross times begin display style 4 over 5 end style plus 1 end fraction equals 14 over 13  I f space x over y equals 3 over 4 comma fraction numerator x plus 2 y over denominator 2 x plus y end fraction space equals space fraction numerator begin display style 3 over 4 plus 2 end style over denominator 2 cross times begin display style 3 over 4 end style plus 1 end fraction equals 11 over 10  H e n c e comma left parenthesis x plus 2 y right parenthesis space colon space left parenthesis 2 x space plus space y right parenthesis equals space 14 colon space 13 space o r space left parenthesis x plus 2 y right parenthesis space colon space left parenthesis 2 x space plus space y right parenthesis equals space 11 colon space 10 space

Answered by Expert 27th January 2016, 6:43 PM
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