\(\left\{{}\begin{matrix}\dfrac{x}{y}=\dfrac{9}{10}\\\dfrac{y}{z}=\dfrac{3}{4}\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}\dfrac{x}{9}=\dfrac{y}{10}\\\dfrac{y}{4}=\dfrac{z}{3}\end{matrix}\right.\)\(\Rightarrow\dfrac{x}{18}=\dfrac{y}{20}=\dfrac{z}{15}\)
Áp dụng t/c dtsbn:
\(\dfrac{x}{18}=\dfrac{y}{20}=\dfrac{z}{15}=\dfrac{x-y+z}{18-20+15}=\dfrac{78}{13}=6\)
\(\Rightarrow\left\{{}\begin{matrix}x=6.18=108\\y=6.20=120\\z=6.15=90\end{matrix}\right.\)
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