Question

Помогите решить пожалуйста оба номера.

Answer 1

$1); ; left { {{x-y=4} atop {5^{x+y}=25}} right. ; left { {{x-y=4} atop {5^{x+y}=5^2}} right. ; left { {{x-y=4} atop {x+y=2}} right. ; left { {{2x=6} atop {2y=-2}} right. ; left { {{x=3} atop {y=-1}} right.$

$2); ; left { {{3^{x}cdot 2^{y}=12} atop {2^{y+1}-3^{x}=5}} right. ; left { {{2^{y}=frac{12}{3^{x}} atop {2^{y}cdot 2-3^{x}-5=0}} right. ; left { {{2^{y}=frac{12}{3^{x}} atop {2cdot frac{12}{3^{x}}-3^{x}-5=0}} right. \\t=3^{x} textgreater 0; ,; ; frac{24}{t}-t-5=0; ,; ; frac{24-t^2-5t}{t}=0\\t^2+5t-24=0; , \\t_1=-8 textless 0; ; ne; podxodit\\t_2=3; ; to ; ; 3^{x}=3; ,; ; x=1\\2^{y}=frac{12}{3}=4; ,; ; 2^{y}=2^2; ,; ; y=2\\Otvet:; ; (1,2).$

Answer 2

Благодарю)