Question

biết rằng x/y=x/5,x/y=y/9,z/2=3/8

Answer 1

\(\frac{x}{y}=\frac{x}{5};\frac{x}{y}=\frac{y}{9};\frac{z}{2}=\frac{3}{8}\)

=> \(\frac{x}{5}=\frac{y}{9};\frac{z}{2}=\frac{3}{8}\)

*) \(\frac{x}{5}=\frac{y}{9}\Rightarrow\)\(\frac{x}{y}=\frac{5}{9}\)

*) \(\frac{z}{2}=\frac{3}{8}\Rightarrow z=\frac{2\cdot3}{8}=\frac{3}{4}\)

++) \(\frac{x}{y}=\frac{5}{9}\) và \(\frac{x}{y}=\frac{x}{5}\Rightarrow\)\(\frac{5}{9}=\frac{x}{5}\Rightarrow\)\(x=\frac{5\cdot5}{9}=\frac{25}{9}\)

++) \(\frac{x}{y}=\frac{5}{9}\) và \(\frac{x}{y}=\frac{y}{9}\Rightarrow\) \(\frac{5}{9}=\frac{y}{9}\Rightarrow y=\frac{5\cdot9}{9}=5\)

Vậy x = 25/9 , y = 5, z = 3/4