4ху+12у-4х-12=(<span>4ху-4х)+(12у-12)=</span>= 4х(у-1)+12(у-1)=(у-1)(4х+12)<span>
</span>
Решение
9^x*27^y=27
<span>2^x/4^y=32
</span>
(3^2x)*(3^3y) = 3³
2^x/(2^2y) = 2⁵
3((2x + 3y) = 3³
2^(x - 2y) = 2⁵
2x + 3y = 3
x - 2y = 5 умножим на (-2)
2x + 3y = 3
-2x + 4y = - 10
складываем уравнения
7y = - 7
y = - 1
2x - 3 = 3
2x = 6
x = 3
(3; - 1)