помогите алгебра !!!!. Created by aida220317. algebra-ru

помогите алгебра !!!!...

aida220317 @aida220317

July 2022 1 1 Report

помогите алгебра !!!!

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$\left\{\begin{array}{ccc}2^{x}\cdot 3^{y}=12\\2^{y}\cdot 3^{x}=18\end{array}\right\; \; \left\{\begin{array}{c}2^{x}\cdot 3^{y}\cdot 2^{y}\cdot 3^{x}=12\cdot 18\\2^{y}\cdot 3^{x}=18\qquad \qquad \end{array}\right\; \; \left\{\begin{array}{ccc}2^{x+y}\cdot 3^{x+y}=216\\2^{y}\cdot 2^{x}=18\end{array}\right\\\\\\\left\{\begin{array}{ccc}6^{x+y}=6^3\; \; \; \; \\2^{y}\cdot 3^{x}=2\cdot 3^2\end{array}\right\; \; \left\{\begin{array}{ccc}x+y=3\qquad \; \\2^{3-x}\cdot 3^{x}=2\cdot 3^2\end{array}\right\;$

$2^{3-x}\cdot 3^{x}=2\cdot 3^2\; |:(2\cdot 3^2)\\\\2^{2-x}\cdot 3^{x-2}=1\; \; ,\; \; \; (\frac{2}{3})^{2-x}=1\; \; ,\; \; \; (\frac{2}{3})^{2-x}=2^0\; \; ,\; \; 2-x=0\; \; ,\\\\\boxed {x=2}$

$y=3-x=3-2=1\; \; ,\; \; \boxed {y=1}\\\\Otvet:\; \; (2,1)\; .$

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pomogite 11 klasscf181886f9bbb491ea520199c54eeab7 91156

pomogite algebra3cc3246bce7ad2c8ddfcedf31395213b 28059

pomogiteccded57ee17d930487d5bacb9b96300a 65378

pomogite4a28a3a348898d16050f714179cfa524 20609

1 razvitie nauki siln zaderzhivatcya blagodatomu chto uchyonye zanimayutsya vesha

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