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CBSE Class 9 Answered

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Asked by Sachin | 21 Oct, 2018, 11:32: PM
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begin mathsize 16px style Let comma straight a left parenthesis straight y plus space straight z right parenthesis space equals space straight b left parenthesis straight z space plus space straight x right parenthesis space equals space straight c left parenthesis straight x space plus space straight y right parenthesis space equals space straight x rightwards double arrow straight y plus space straight z space equals space straight x over straight a space... left parenthesis straight i right parenthesis space space space space space straight z plus space straight x space equals space straight x over straight b space... left parenthesis ii right parenthesis space space space space space straight x plus space straight y space equals space straight x over straight c space... left parenthesis iii right parenthesis Subtracting space left parenthesis straight i right parenthesis space from space left parenthesis ii right parenthesis comma space left parenthesis ii right parenthesis space from space left parenthesis iii right parenthesis comma space left parenthesis iii right parenthesis space from space left parenthesis straight i right parenthesis comma space we space get straight x space minus space straight y space equals space fraction numerator straight x left parenthesis straight a space minus space straight b right parenthesis over denominator ab end fraction space space space.... left parenthesis iv right parenthesis straight y space minus space straight z space equals space fraction numerator straight x left parenthesis straight b space minus space straight c right parenthesis over denominator bc end fraction space space space.... left parenthesis straight v right parenthesis straight z space minus space straight x space equals space fraction numerator straight x left parenthesis straight c space minus space straight a right parenthesis over denominator ac end fraction space space space.... left parenthesis vi right parenthesis Dividing space left parenthesis iv right parenthesis space by space straight c left parenthesis straight a space minus space straight b right parenthesis space comma space left parenthesis straight v right parenthesis space by space straight a left parenthesis straight b space minus space straight c right parenthesis space and space left parenthesis vi right parenthesis space by space straight b left parenthesis straight c space minus space straight a right parenthesis comma space we space get fraction numerator straight x space minus space straight y over denominator straight c left parenthesis straight a space minus space straight b right parenthesis end fraction space equals space straight x over abc space space space space space space space space.... left parenthesis vii right parenthesis fraction numerator straight y space minus space straight z over denominator straight a left parenthesis straight b space minus space straight c right parenthesis end fraction space equals space straight x over abc space space space space space space space space..... left parenthesis viii right parenthesis fraction numerator straight z space minus space straight x over denominator straight b left parenthesis straight c space minus space straight a right parenthesis end fraction space equals space fraction numerator straight x over denominator abc space end fraction space space space space space space space...... left parenthesis ix right parenthesis From space left parenthesis vii right parenthesis comma space left parenthesis viii right parenthesis space and space left parenthesis ix right parenthesis comma space we space get fraction numerator straight x space minus space straight y over denominator straight c left parenthesis straight a space minus space straight b right parenthesis end fraction space equals fraction numerator straight y space minus space straight z over denominator straight a left parenthesis straight b space minus space straight c right parenthesis end fraction equals fraction numerator straight z space minus space straight x over denominator straight b left parenthesis straight c space minus space straight a right parenthesis end fraction end style
Answered by Yasmeen Khan | 22 Oct, 2018, 01:58: PM
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