Question

x/3 = y/2 và xy^2 = 96

Answer 1

Đặt \(\dfrac{x}{3}=\dfrac{y}{2}=k\)

=> \(\left\{{}\begin{matrix}x=3k\\y=2k\end{matrix}\right.\)

Do xy² = 96 => 3k.4k² = 96 => 12k³ = 96 => k³ = 8 => k = 2

=> \(\left\{{}\begin{matrix}x=6\\y=4\end{matrix}\right.\)

Answer 2

Đặt

\(\dfrac{x}{3}=\dfrac{y}{2}=k\)

\(\Rightarrow\left\{{}\begin{matrix}x=3k\\y=2k\end{matrix}\right.\)

\(xy^2=3k.2k^2=3k.4k^2=12k^3\)

\(\Leftrightarrow12k^3=96\)

\(\Leftrightarrow k^3=8\Leftrightarrow k=2\)

\(\Rightarrow\left\{{}\begin{matrix}x=2.3=6\\y=2.2=4\end{matrix}\right.\)