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CBSE Class 10 Answered

Find x and y  ax+by=3ab a²x+b²y=a+b
Asked by sainymishra2004 | 23 May, 2019, 01:45: PM
Expert Answer
begin mathsize 16px style ax space plus space by space equals space 3 ab space space... space left parenthesis straight i right parenthesis straight a squared straight x space plus space straight b squared straight y space equals space straight a space plus space straight b space space space space... space left parenthesis ii right parenthesis rightwards double arrow straight y space equals space fraction numerator straight a open parentheses 3 straight b space minus space straight x close parentheses over denominator straight b end fraction space space space space... space from space left parenthesis straight i right parenthesis Substitute space the space value space of space straight y space in space left parenthesis ii right parenthesis comma space we space get straight a squared straight x space plus space straight b squared open square brackets space fraction numerator straight a open parentheses 3 straight b space minus space straight x close parentheses over denominator straight b end fraction close square brackets space equals space straight a space plus space straight b rightwards double arrow straight a squared straight x space plus 3 ab squared space minus space abx space equals space straight a space plus space straight b rightwards double arrow straight x open parentheses straight a squared space minus space ab close parentheses space equals space straight a space plus space straight b space minus space 3 ab squared rightwards double arrow space straight x space equals space fraction numerator straight a space plus space straight b space minus space 3 ab squared over denominator straight a squared space minus space ab end fraction Therefore space straight y space space equals space fraction numerator straight a open parentheses 3 straight b space minus space straight x close parentheses over denominator straight b end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator straight a open square brackets 3 straight b space minus space open parentheses fraction numerator straight a space plus space straight b space minus space 3 ab squared over denominator straight a squared space minus space ab end fraction close parentheses close square brackets over denominator straight b end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 3 straight a squared straight b space minus 3 ab squared space minus space straight a space minus space straight b space plus space 3 ab squared space close parentheses over denominator straight b open parentheses straight a space minus space straight b close parentheses end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator 3 straight a squared straight b space space minus space straight a space minus space straight b over denominator straight b open parentheses straight a space minus space straight b close parentheses end fraction end style
Answered by Yasmeen Khan | 23 May, 2019, 02:13: PM

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