Question

Помогите пожалуйста №7

Answer 1

$7)\; \; \left \{ {{log_{\pi }(3x-y)=0} \atop {\frac{25^{y}}{5^{x}}}=125} \right. \; \left \{ {{3x-y=\pi ^0} \atop {\frac{5^{2y}}{5^{x}}}=5^3} \right. \; \left \{ {{3x-y=1} \atop {5^{2y-x}=5^3}} \right. \; \left \{ {{y=3x-1} \atop {2y-x=3}} \right. \; \left \{ {{y=3x-1} \atop {2(3x-1)-x=3}} \right. \\\\ \left \{ {{y=3x-1} \atop {6x-2-x=3}} \right. \; \left \{ {{y=3x-1} \atop {5x=5}} \right. \; \left \{ {{y=2} \atop {x=1}} \right. \\\\ODZ:\; \; 3x-y\ \textgreater \ 0\; \; \to \; \; 3x\ \textgreater \ y\\\\x=1\; \; \to \; \; 3\cdot 1=3\ \textgreater \ 2\\\\Otvet:\; \; (1,2)\; .$