Ta có :
\(\frac{4x}{5}=\frac{3y}{2}\)
\(\Rightarrow\frac{4x}{5}:300=\frac{3y}{2}:300\)
\(\Rightarrow\frac{x}{375}=\frac{y}{200}\)
\(\frac{4y}{5}=\frac{5z}{3}\)
\(\Rightarrow\frac{4y}{5}:160=\frac{5z}{3}:160\)
\(\Rightarrow\frac{y}{200}=\frac{z}{96}\)
\(\Rightarrow\frac{x}{375}=\frac{y}{200}=\frac{z}{96}\)
\(\Rightarrow\frac{x}{375}=\frac{y}{200}=\frac{2x}{750}=\frac{3y}{600}=\frac{z}{96}\)
\(2x-3y+4=5.34=170\)
\(\Rightarrow2x-3y=170-4=166\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta có :
\(\Rightarrow\frac{x}{375}=\frac{y}{200}=\frac{2x}{750}=\frac{3y}{600}=\frac{z}{96}=\frac{2x-3y}{750-600}=\frac{166}{150}=\frac{83}{75}\)
\(\frac{x}{375}=\frac{83}{75}\Rightarrow x=415\)
\(\frac{y}{200}=\frac{83}{75}\Rightarrow y=221\frac{1}{3}\)
\(\frac{z}{96}=\frac{83}{75}\Rightarrow z=106,24\)
