[latex]1. left { {{x+2y=3} atop {3^{x-y} =81}} ight. 2. left { {{4^{x} *2 ^{y}=32 } atop {3^{8x+1} =3^{3y} }} ight. 3. left { {{3^{3x-2y}=81 } atop {3^{6x} *3^{y} }=27} ight. [/latex]

1) [latex] left { {{x=3-2y} atop {3^{x-y} =81}} ight.[/latex][latex] left { {{x=3-2y} atop {3^{3-2y-y} =81}} ight.[/latex][latex] left { {{x=3-2y} atop {3^{3-3y}=3^{4}}} ight.[/latex][latex]3-3y=4[/latex][latex]-3y=4-3[/latex][latex]y=- frac{1}{3}[/latex][latex]x=3-2y=3- frac{2}{3}=frac{7}{3}=2frac{1}{3}[/latex]Ответ: [latex](2frac{1}{3};-frac{1}{3})[/latex]2) [latex] left { {{2^{2x+y}=2^{5}} atop {8x+1=3y}} ight. [/latex][latex] left { {{2x+y=5} atop {8x+1=3y}} ight. [/latex][latex] left { {{y=5-2x} atop {8x+1=3(5-2x)}} ight. [/latex][latex]8x+1=15-6x[/latex][latex]14x=14[/latex][latex]x=1[/latex][latex]y=5-2x=5-2=3[/latex]Ответ: (1; 3)3) [latex]left { {{3^{3x-2y}=3^{4}} atop {3^{6x+y}=3^{3}} ight. [/latex][latex]left { {{3x-2y=4} atop {6x+y=3} ight. [/latex][latex]left { {{3x-2(3-6x)=4} atop {y=3-6x} ight. [/latex][latex]3x-6+12x=4[/latex][latex]15x=10[/latex][latex]x= frac{2}{3} [/latex][latex]y=3-6x=3-frac{2*6}{3}=3-4=-1[/latex]Ответ: [latex](frac{2}{3};-1)[/latex]