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

[latex] \left \{ {{6^{x} -2^{y} =2 } \atop { 6^{x}+2^{y} =10}} \right. [/latex] [latex] \left \{ {{ 6^{x}-2[latex] \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. [/latex]^{y} = 2} \atop {2* 6^{x}=12 }} \right. 6^{x}=6, 6^{x} = 6^{1} . x=1[/latex]