5x = 8y = 20z = \(\dfrac{x}{8}=\dfrac{y}{5}=\dfrac{z}{8}\)
Dựa vào tính chất dãy tỉ số bằng nhau, ta được:
\(\dfrac{x-y-z}{8-5-8}=\dfrac{3}{-5}\)
=> 5x = 8y = 20z = \(\dfrac{3}{-5}\)
=> \(\left\{{}\begin{matrix}x=-\dfrac{3}{25}\\y=-\dfrac{3}{40}\\z=-\dfrac{3}{100}\end{matrix}\right.\)
8y = 20z = \(\dfrac{y}{20}=\dfrac{z}{8}\)
Mà 5x = 8y = \(\dfrac{x}{8}=\dfrac{y}{5}\)
Nên mik cho \(\dfrac{x}{8}=\dfrac{y}{5}=\dfrac{z}{8}\) luôn.