Question

Решите систему уравнений

Answer 1

$left { {{2^{x} +2^{y} = 40} atop {2^{x-1} -2^{y-1}=12}} right. \ left { {{2^{x} =40-2^{y} } atop { frac{40-2^{y}}{2} - frac{2^{y}}{2} = 12}} right. \ left { {{2^{x} =40-2^{y}} atop {40-2^{y}-2^{y}=24}} right. \ left { {{2^{x} =40-2^{y}} atop {2*2^{y}=16}} right. \ left { {{2^{x} =40-2^{y}} atop {2^{y}=8}} right. \ left { {{2^{x} =40-2^{y}} atop {2^{y}=2^{3}}} right. \ left { {{2^{x} =40-2^{y}} atop {y=3}} right.$
$left { {{2^{x} =40-8} atop {y=3}} right. \ left { {{2^{x} =32} atop {y=3}} right. \ left { {{2^{x} =2^{5}} atop {y=3}} right. \ left { {{x =5} atop {y=3}} right.$