Question

\(5x=8y=20zvax-y-z=3\)

Answer 1

\(Có:5x=8y=20z\\ \Rightarrow\dfrac{x}{\dfrac{1}{5}}=\dfrac{y}{\dfrac{1}{8}}=\dfrac{z}{\dfrac{1}{20}}\)

\(\text{Áp dụng tính chất dãy tỉ số bằng nhau ta có:}\)

\(\dfrac{x}{\dfrac{1}{5}}=\dfrac{y}{\dfrac{1}{8}}=\dfrac{z}{\dfrac{1}{20}}=\dfrac{x-y-z}{\dfrac{1}{5}-\dfrac{1}{8}-\dfrac{1}{20}}=\dfrac{3}{\dfrac{1}{40}}=120\)

\(\Rightarrow x=120.\dfrac{1}{5}=24\\ \Rightarrow y=120.\dfrac{1}{8}=15\\ \Rightarrow z=120.\dfrac{1}{20}=6\)

\(\text{Vậy: x = 24 ; y = 15 ; z =6}\)

\(\text{Tick cho mình nha}\)