Question

Людии!!!Хелпппп! 5.77,5.78 задания!!!!!!

Answer 1

$1); ; left { {{3^{x}cdot 2^{y}=frac{1}{9}} atop {y-x=2}} right. ; left { {{3^{x}cdot 2^{x+2}=frac{1}{9}} atop {y=x+2}} right. \\2^{x}cdot 2^2=frac{1}{3^2cdot 3^{x}}; ;quad 2^{x}cdot 3^{x}=frac{1}{2^2cdot 3^2}; ;quad 6^{x}=6^{-2}; ;; ; x=-2\\y=-2+2=0\\Otvet:; ; (-2,0)\\2)quad left { {{2^{y}=200cdot 5^{x}} atop {x+y=1}} right. ; left { {{2^{y}=2cdot (2cdot 5)^2cdot 5^{1-y}} atop {x=1-y}} right.$

  $left { {{2^{y}cdot 5^{y}=10^3} atop {x=1-y}} right.$ 

 $left { {{y=3} atop {x=1-y}} right. ; left { {{y=3} atop {x=-2}} right. \\Otvet:; ; (-2,3).$