\(\frac{x}{4}=\frac{y}{3}=\frac{z}{2}=>\frac{2x}{8}=\frac{y}{3}=\frac{2z}{4}\)
áp dug t/c dãy t/s = nhau ta có:
\(\frac{2x}{8}=\frac{y}{3}=\frac{2z}{4}=\frac{2x+y-2z}{8+3-4}=\frac{21}{7}=3\)
=>x/4=3=>x=12
=>y/3=3=>y=9
=>z/2=3=>z=6
Ta có : \(\frac{x}{4}=\frac{2x}{8};\frac{z}{2}=\frac{2z}{4}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{2x}{8}=\frac{y}{3}=\frac{2z}{4}=\frac{2x+y+2z}{8+3-4}=\frac{21}{7}=3\)
\(\Rightarrow x=12;y=9;z=6\)
Ta có: \(\frac{x}{4}=\frac{y}{3}=\frac{z}{2}=\frac{2x}{8}=\frac{y}{3}=\frac{2z}{4}=\frac{2x+y-2z}{8+3-4}=\frac{21}{7}=3\)
\(\Rightarrow\frac{x}{4}=3\Rightarrow x=12;\frac{y}{3}=3\Rightarrow y=9;\frac{z}{2}=3\Rightarrow z=6\)