Question

Решите систему уравнений

Answer 1

$left { {{ (frac{1}{3})^{2x-y}= frac{1}{ sqrt{3} } } atop { 5^{3x-y}= sqrt[3]{5} } right. textless = textgreater left { {{ (frac{1}{3})^{2x-y}= (frac{1}{3 } )^{ frac{1}{2}} } atop { 5^{3x-y}= 5^{ frac{1}{3}} } right. textless = textgreater - left { {{2x-y= frac{1}{2}} atop {3x-y= frac{1}{3}}} right. \ \ -x= frac{1}{2} - frac{1}{3} = frac{1}{6} \ \ x=- frac{1}{6} \ \ 2x-y= frac{1}{2} \ \ y=2x- frac{1}{2} =2 (-frac{1}{6})- frac{1}{2} =- frac{1}{3} - frac{1}{2}=- frac{5}{6}$
$OTBET: ( - frac{1}{6} ; - frac{5}{6} )$