\(x^4\cdot y^4=16\Leftrightarrow\left(xy\right)^4=16\Leftrightarrow xy=2\) (1)
có: \(\frac{x}{2}=\frac{y}{9}\Leftrightarrow x=\frac{2y}{9}\)
thay vào (1) đc:
\(x\cdot y=\frac{2y}{9}\cdot y=\frac{2y^2}{9}=2\)
\(\Rightarrow2y^2=18\Leftrightarrow y^2=9\Leftrightarrow y=3\)và \(y=-3\)
y = 3 <=> x = 2*3/9 = 2/3
y = -3 <=> x = 2*(-3)/9=-2/3
vậy x = 2/3, y = 3
x = -2/3, y = -3