y/2=z/5=> 2y/4=z/5=18/9=2
=>y/2=2=> y=4
z/5=2=> z=10
3x=2y=> 3x=4=> x=4/3
bạn có thể giải chi tiết hơn ko ? mk ko hiểu cho lắm
TA CÓ: \(3x=2y\Rightarrow\frac{x}{2}=\frac{y}{3}\Rightarrow\frac{x}{4}=\frac{y}{6}\left(1\right)\)
\(\frac{y}{2}=\frac{z}{5}\Rightarrow\frac{y}{6}=\frac{z}{15}\left(2\right)\)
từ ( 1); (2) \(\Rightarrow\frac{x}{4}=\frac{y}{6}=\frac{z}{15}=\frac{x}{4}=\frac{2y}{12}=\frac{z}{15}\)
ADTCDTSBN
CÓ: \(\frac{2y}{12}=\frac{z}{15}=\frac{2y+z}{12+15}=\frac{18}{27}=\frac{2}{3}\)
\(\Rightarrow\frac{x}{4}=\frac{2}{3}\Rightarrow x=\frac{8}{3}\)
\(\frac{y}{6}=\frac{2}{3}\Rightarrow y=4\)
\(\frac{z}{15}=\frac{2}{3}\Rightarrow z=10\)
KL : X= 8/3 ; Y =4 ; Z= 10