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ICSE Class 9 Answered

7/X +8/y =22 2/X +13/y =2
Asked by sakshishrff | 04 Aug, 2019, 06:01: PM
Expert Answer
begin mathsize 16px style 7 over straight x space plus space 8 over straight y space equals space 22 2 over straight x space plus space 13 over straight y space equals space 2 Put space 1 over straight x space equals space straight m space and space 1 over straight y space equals space straight n comma space we space get 7 straight m space plus space 8 straight n space equals space 22 space space... space left parenthesis 1 right parenthesis 2 straight m space plus space 13 straight n space equals space 2 space.... space left parenthesis 2 right parenthesis Multiply space equations space left parenthesis 1 right parenthesis space by space 2 space and space left parenthesis 2 right parenthesis space by space 7 comma space we space get 14 straight m space plus space 16 straight n space equals space 44 space space.... space left parenthesis 3 right parenthesis 14 straight m space plus space 91 straight n space equals space 14 space space.... space left parenthesis 4 right parenthesis Subtract space left parenthesis 4 right parenthesis space from space left parenthesis 3 right parenthesis comma space we space get straight n space equals space fraction numerator negative 2 over denominator 5 end fraction Substitute space the space value space of space straight n space in space left parenthesis 2 right parenthesis comma space we space get straight m space equals space 18 over 5 Resubstite space the space values space of space straight m space and space straight n comma space we space get fraction numerator begin display style 1 end style over denominator begin display style straight x end style end fraction space equals fraction numerator begin display style 18 end style over denominator begin display style 5 end style end fraction space space and space fraction numerator begin display style 1 end style over denominator begin display style straight y end style end fraction space equals fraction numerator begin display style negative 2 end style over denominator begin display style 5 end style end fraction space comma rightwards double arrow straight x space equals space 5 over 18 space and space straight y space equals space fraction numerator negative 5 over denominator 2 end fraction end style
Answered by Yasmeen Khan | 05 Aug, 2019, 11:13: AM

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