Question

Answer 1

\(\dfrac{x}{2}=\dfrac{y}{5}\Rightarrow\dfrac{x}{6}=\dfrac{y}{15}\)

\(\dfrac{y}{3}=\dfrac{z}{4}\Rightarrow\dfrac{y}{15}=\dfrac{z}{20}\)

\(\Rightarrow\dfrac{x}{6}=\dfrac{y}{15}=\dfrac{z}{20}\)

Áp dụng tính chất dãy tỉ số bằng nhau ta có:

\(\dfrac{x}{6}=\dfrac{y}{15}=\dfrac{z}{20}=\dfrac{x+y-z}{6+15-20}=-\dfrac{9}{1}=-9\)

\(\dfrac{x}{6}=-9\Rightarrow x=-54\\ \dfrac{y}{15}=-9\Rightarrow y=-135\\ \dfrac{z}{20}=-9\Rightarrow z=-180\)

Answer 2

x=-54/41

y=-135/41

z=-180/41