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CBSE Class 10 Answered

1/2(x+2y)+5/3(3x-2y)=-3/2 5/4(x+2y)-3/5(3x-2y)=61/60 Respected Teachers , please find the value of x and y
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Asked by spankaj.ekt | 14 Jun, 2020, 07:01: PM
answered-by-expert Expert Answer
T o space s o l v e colon space 1 half left parenthesis x plus 2 y right parenthesis plus 5 over 3 left parenthesis 3 x minus 2 y right parenthesis equals negative 3 over 2 space semicolon space fraction numerator begin display style 5 end style over denominator begin display style 4 end style end fraction left parenthesis x plus 2 y right parenthesis minus fraction numerator begin display style 3 end style over denominator begin display style 5 end style end fraction left parenthesis 3 x minus 2 y right parenthesis equals 61 over 60
L e t space x plus 2 y equals t space a n d space 3 x minus 2 y equals u
rightwards double arrow fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction t plus fraction numerator begin display style 5 end style over denominator begin display style 3 end style end fraction u equals negative fraction numerator begin display style 3 end style over denominator begin display style 2 end style end fraction
space fraction numerator begin display style 5 end style over denominator begin display style 4 end style end fraction t minus fraction numerator begin display style 3 end style over denominator begin display style 5 end style end fraction u equals 61 over 60
S o l v i n g space a b o v e space e q u a t i o n s space s i m u l tan e o u s l y comma space w e space g e t
u equals negative 1 space a n d space t equals 3
rightwards double arrow x plus 2 y equals 3 space a n d space 3 x minus 2 y equals negative 1
A d d i n g space a b o v e space e q u a t i o n s comma space w e space h a v e
4 x equals 4 rightwards double arrow x equals 1 half
rightwards double arrow y equals 5 over 4
Answered by Renu Varma | 16 Jun, 2020, 12:03: PM
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