Question

Помогите решить алгебру.Спасибо!

Answer 1

$1)quad left { {{log_{1/3}(x+y)=2} atop {log_5(x-y)=2}} right. ; ,; ; ODZ:; x>y,; x>-y\\left { {{x+y=frac{1}{9}} atop {x-y=25}} right. ; left { {{2x=frac{226}{9}} atop {2y=-frac{224}{9}}} right. ; left { {{x=frac{113}{9}} atop {y=-frac{112}{9}}} right.$

$2); ; left { {{log_4x+log_4y=1+log_49} atop {x+y-20=0}} right. ; ,; ; ODZ:; ; x textgreater 0,; y textgreater 0\\left { {{log_4(xy)=log_4(4cdot 9)} atop {x+y=20}} right. ; left { {{xy=36} atop {y=20-x}} right. \\x, (20-x)=36\\-x^2+20x=36\\x^2-20x+36=0\\x_1=2,; ; x_2=18$