Допоможіть будь ласка!!!. Created by yanatsegelna17. matematika-ru

Ответ:{{4; 1)}Пошаговое объяснение:Проверка:4⁴-9¹=256-9=2472⁴+3¹=16+3=19Верно!

Допоможіть будь ласка!!!...

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Verified answer

Ответ:

{{4; 1)}

Пошаговое объяснение:

$\left \{ {{4^{x} -9^{y} =247} \atop {2^{x} +3^{y} =19}} \right. \\\left \{ {{2^{2x} -3^{2y} =247} \atop {2^{x} +3^{y} =19}} \right.\\\left \{ {{(2^{x} -3^{y})(2^{x} +3^{y}) =247} \atop {2^{x} +3^{y} =19}} \right.\\\left \{ {{(2^{x} -3^{y})*19 =247} \atop {2^{x} +3^{y} =19}} \right.\\\left \{ {{2^{x} -3^{y} =13} \atop {2^{x} +3^{y} =19}} \right.\\\left \{ {{2^{x} -3^{y} =13} \atop {2^{x} +3^{y}+2^{x} -3^{y} =19+13}} \right.$

$\left \{ {{2^{x} -3^{y} =13} \atop {2*2^{x} =32}} \right.\\\left \{ {{2^{x} -3^{y} =13} \atop {2^{x} =16}} \right.\\\left \{ {{16 -3^{y} =13} \atop {2^{x} =2^{4}}} \right.\\\left \{ {{3^{y} =3^{1}} \atop {x =4}} \right.\\\left \{ {{y=1} \atop {x=4}} \right.$

Проверка:

4⁴-9¹=256-9=247

2⁴+3¹=16+3=19

Верно!

0 votes Thanks 1

terikovramazan

Ответ:приложено

Пошаговое объяснение:

1 votes Thanks 1

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