Question

calcule x e y, sabendo que:1/2/x=1/3/y e x + y=1/6

Answer 1

$\frac{1}{ \frac{2}{x}} = \frac{1}{2x} \\ \frac{1}{ \frac{3}{y} } = \frac{1}{3y} \\ x+y = \frac{1}{6} \\ \frac{1}{2x} = \frac{1}{3y} => \frac{3y}{6xy}= \frac{2x}{6xy} => 3y=2x => y= \frac{2x}{3} \\ x+ \frac{2x}{3} = \frac{1}{6} => \frac{3x+2x}{3} = \frac{1}{6} => \frac{5x}{3} = \frac{1}{6} =>x= \frac{1}{10} \\ \frac{1}{10}+y= \frac{1}{6} =>y= \frac{1}{6}- \frac{1}{10} => \frac{10-6}{60} = \frac{4}{60} => \frac{1}{15} \\ X = \frac{1}{10} e Y= \frac{1}{15}$

Espero ter ajudado.