Question

Помогите решить систему уравнений. Много баллов

Answer 1

$left { {{(3^x)^2-(0,5^y)^2=5,} atop {3^x+0,5^y=5;}} right. left { {{(3^x-0,5^y)(3^x+0,5^y)=5} atop {3^x+0,5^y=5}} right. left { {{5(3^x-0,5^y)=5} atop {3^x+0,5^y=5}} right. left { {{3^x-0,5^y=1} atop {3^x+0,5^y=5}} right. \\left { {{2cdot3^x=6} atop {-2cdot0,5^y=-4;}} right. left { {{3^x=3,} atop {0,5^y=2;}} right. left { {{3^x=3^1} atop {0,5^y=0,5^{-1}}} right. left { {{x=1} atop {y=-1}} right.$

ОТВЕТ: (1; -1).