Question

Решите и если возможно с проверкой​

Answer 1

$\left \{ {{2y-3x=6\; \; \qquad \qquad } \atop {2x+y=log_3135-log_35}} \right. \left \{ {{2y-3x=6\qquad \qquad } \atop {2x+y=log_3(3^3\cdot 5)-log_35}} \right.\; \; \left \{ {{2y-3x=6\qquad \qquad } \atop {2x+y=log_33^3+log_35-log_35}} \right.\\\\\left \{ {{2y-3x=6\qquad } \atop {2x+y=3\, |\cdot (-2)}} \right.\; \; \left \{ {{2y-3x=6} \atop {-7x=0}} \right\; \; \left \{ {{y=3} \atop {x=0}} \right.\; \; \to \; \; (0,3)\\\\\\Proverka:\; \; 1)\; \; 2\cdot 3-3\cdot 0=6-0=0\; \; ,\; \; 6=6\\\\2)\; \; 2\cdot 0+3=0+3=3\; \; ,\; \; log_3135-log_35=log_33^3+log_35-log_35=3log_33=3$

$Otvet:\; \; (0,3)\; .$