Question

решить систему уравнений.
{log1/3 (2x+y)=-1/
2y-2x=9​

Answer 1

$\displaystyle\bf\\ODZ:2x+y>0\\\\\\\left \{ {{log_{\frac{1}{3} }(2x+y)=-1 } \atop {2y-2x=9}} \right. \\\\\\+\left \{ {{2x+y=3} \atop {-2x+2y=9}} \right. \\---------\\3y=12\\\\y=4\\\\2x=3-y=3-4=-1\\\\x=-0,5\\\\Otvet:(-0,5 \ ; \ 4)$