Question

xy/x+y=1/9 and xy/x-y=1/4
solve by elimination method
step by step answer required to be marked brainliest

Answer 1

$\frac{xy}{x + y} = \frac{1}{9} \\ = > \frac{1}{x} + \frac{1}{y} = \frac{1}{9} ............(1) \\ \\ and \\ \\ \frac{xy}{x - y} = \frac{1}{4} \\ = > \frac{1}{x} + \frac{1}{y} = \frac{1}{4} .........(2) \\ \\ adding \: (1) \: and \: (2). we \: get: \\ \\ \frac{2}{x} = \frac{13}{36} \\ = > \fbox{x = \frac{62}{13}} \\ \\ now \: using \: x = \frac{62}{13} in \: (2) \\ \\ \frac{1}{y} + \frac{13}{62} = \frac{1}{4} \\ = > \frac{1}{y} = \frac{5}{124} \\ = > \fbox{y = \frac{124}{5} }$