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CBSE Class 10 Answered

x+y=a+b ax-by=a^2-b^2 Solve for x and y
Asked by ananyachandra90 | 14 Jun, 2019, 11:44: AM
Expert Answer
begin mathsize 16px style straight x space plus space straight y space equals space straight a space plus space straight b space.... space left parenthesis straight i right parenthesis ax space minus space by space equals space straight a squared space minus space straight b squared space space space.... space left parenthesis ii right parenthesis Multiply space left parenthesis straight i right parenthesis space by space straight b comma space we space get straight b straight x space plus space by space equals space ab space plus space straight b squared space.... space left parenthesis iii right parenthesis Adding space equation space left parenthesis ii right parenthesis space and space left parenthesis iii right parenthesis comma space we space get ax space plus space bx space equals space ab space plus space straight a squared rightwards double arrow space straight x left parenthesis straight a space plus space straight b right parenthesis space equals space straight a left parenthesis straight a space plus space straight b right parenthesis rightwards double arrow space straight x space equals space straight a Put space straight x space equals space straight a space in space left parenthesis straight i right parenthesis comma space we space get straight a space plus space straight y space equals space straight a space plus space straight b rightwards double arrow space straight y space equals space straight b space end style
Answered by Yasmeen Khan | 14 Jun, 2019, 02:15: PM

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