A/x + b/y = m. 
b/x + a/y = n. 
solve this equation

Asked by Muruga | 24th Feb, 2018, 04:11: PM

Expert Answer:

begin mathsize 16px style straight a over straight x plus space straight b over straight y space equals space straight m space minus negative negative negative negative negative negative left parenthesis 1 right parenthesis space
straight b over straight x space space plus space straight a over straight y space equals space straight n space minus negative negative negative negative negative negative negative negative left parenthesis 2 right parenthesis space space
multiply space straight a space with space eqn space left parenthesis 1 right parenthesis space and space straight b space with space eqn space left parenthesis 2 right parenthesis space space
straight a squared over straight x plus space ab over straight y space equals space ma space space
straight b squared over straight x space space plus space ab over straight y space equals space straight n space straight b
subtracting space space
fraction numerator left parenthesis space straight a ² space minus space straight b ² right parenthesis over denominator straight x end fraction space equals space left parenthesis space ma space minus space nb right parenthesis space space
straight x space equals fraction numerator space left parenthesis straight a ² space minus space straight b ² right parenthesis over denominator left parenthesis space ma space minus space nb right parenthesis space end fraction
similarly space multiply space straight b space on space equation space left parenthesis 1 right parenthesis space and space straight a space on space equation space left parenthesis 2 right parenthesis space and space subtracting space space space
you space get space comma space space space straight y space equals space fraction numerator left parenthesis space straight b ² space minus space straight a ² right parenthesis over denominator left parenthesis space mb space minus space na right parenthesis end fraction end style

Answered by Arun | 25th Feb, 2018, 01:11: PM

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