решите систему уравнений [tex] \left \{ {{6^x-2^y=2} \atop {6^x+2^y=10}} \right. [/tex]. Created by hello2703. algebra-ru

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решите систему уравнений
[tex] \left \{ {{6^x-2^y=2} \atop {6^x+2^y=10}} \right. [/tex]

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kirichekov

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$\left \{ {{6^{x} -2^{y} =2 } \atop { 6^{x}+2^{y} =10}} \right.$
$\left \{ {{ 6^{x}-2[tex] \left \{ {{ 6^{x}=6 } \atop { 6-2^{y} =10}} \right. 

 \left \{ {{ 6^{x}=6 } \atop { 2^{y} =4}} \right. , y=2

 \left \{ {{x=1} \atop {y=2}} \right.$ ^{y} = 2} \atop {2* 6^{x}=12 }} \right.6^{x}=6, 6^{x} = 6^{1} . x=1[/tex]

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