=(5,04x-1,44y)-(1,2x-8,1y)=5,04x-1,44y-1,2x+8,1y=3,84x+6,66y
Находим производную по формуле производная дроби
![(\frac{5^x}{x-1})'=\frac{(5^x)'(x-1)-5^x*(x-1)'}{(x-1)^2}=\\ \frac{5^x*\ln a (x-1)-5^x}{(x-1)^2}=5^x\frac{\ln a (x-1)-1}{(x-1)^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%5Ex%7D%7Bx-1%7D%29%27%3D%5Cfrac%7B%285%5Ex%29%27%28x-1%29-5%5Ex%2A%28x-1%29%27%7D%7B%28x-1%29%5E2%7D%3D%5C%5C+%5Cfrac%7B5%5Ex%2A%5Cln+a+%28x-1%29-5%5Ex%7D%7B%28x-1%29%5E2%7D%3D5%5Ex%5Cfrac%7B%5Cln+a+%28x-1%29-1%7D%7B%28x-1%29%5E2%7D+)
Находим производную по формуле производная произведения
![(x^2*3^x)'=2x*3^x+x^2*3^x*\ln a](https://tex.z-dn.net/?f=%28x%5E2%2A3%5Ex%29%27%3D2x%2A3%5Ex%2Bx%5E2%2A3%5Ex%2A%5Cln+a)
6-4(3-2x)=5x-9
6-(12-8x)=5x-9
6-12+8x=5x-9
8x-5x=-9-6+12
3x=-3
x=-3/3
x=-1
Ответ: х=-1.