Question

Решите систему уравнений:

Answer 1

Ответ:

Объяснение:

$\displaystyle\\\left \{ {{3^{x-y}-5|3y-x|=71} \atop {|3y-x|-3^{x-y-1}=-25}} \right.\\\\\\\left \{ {{3^{x-y}-5|3y-x|=71} \atop {|3y-x|-\dfrac{3^{x-y}}{3} } =-25}} \right.\\\\\\\left \{ {{3^{x-y}-5|3y-x|=71} \atop {3|3y-x|-3^{x-y}=-75}} \right. \\+\\------------\\-2|3y-x|=-4\\\\|3y-x|=2\\\\1)\ 3y-x=2;x=3y-2\\\\3^{3y-2-y}-5\cdot2=71\\\\3^{2y-2}=81=3^4;2y-2=4;y=3;x=3\cdot3-2=7\\\\\\2)\ 3y-x=-2;x=3y+2\\\\3^{3y+2-y}-5\cdot2=71\\\\3^{2y+2}=81=3^4;2y+2=4;y=1;x=3\cdot1+2=5$

О т в е т: (5; 1) (7; 3)