a/b + b/y = c.  And. b/x + a/y = 1/c

find x and y 

chapter:3

class 10  maths

Asked by dhanviypatel | 24th May, 2021, 11:44: AM

Expert Answer:

TO solve the equations: a/x + b/y = x and b/x + a/y = 1/c
ab over straight x plus straight b squared over straight y equals bc space space space space... space left parenthesis straight i right parenthesis
ab over straight x plus straight a squared over straight y equals straight a over straight c space space space space... space left parenthesis ii right parenthesis
left parenthesis straight i right parenthesis space minus space left parenthesis ii right parenthesis
fraction numerator straight b squared minus straight a squared over denominator straight y end fraction equals bc minus straight a over straight c
rightwards double arrow straight y equals fraction numerator straight c open parentheses straight b squared minus straight a squared close parentheses over denominator bc squared minus straight a end fraction
rightwards double arrow straight a over straight x plus fraction numerator straight b open parentheses bc squared minus straight a close parentheses over denominator straight c open parentheses straight b squared minus straight a squared close parentheses end fraction equals straight c
rightwards double arrow straight a over straight x equals straight c minus fraction numerator straight b open parentheses bc squared minus straight a close parentheses over denominator straight c open parentheses straight b squared minus straight a squared close parentheses end fraction equals fraction numerator straight c squared open parentheses straight b squared minus straight a squared close parentheses minus straight b open parentheses bc squared minus straight a close parentheses over denominator straight c open parentheses straight b squared minus straight a squared close parentheses end fraction
rightwards double arrow straight a over straight x equals fraction numerator straight c squared straight b squared minus straight c squared straight a squared minus straight b squared straight c squared plus ab over denominator straight c open parentheses straight b squared minus straight a squared close parentheses end fraction equals fraction numerator straight a open parentheses straight b minus straight c squared straight a close parentheses over denominator straight c open parentheses straight b squared minus straight a squared close parentheses end fraction
rightwards double arrow straight x equals fraction numerator straight b minus straight c squared straight a over denominator straight c open parentheses straight b squared minus straight a squared close parentheses end fraction

Answered by Renu Varma | 26th May, 2021, 10:01: AM