Question

 ( x,y ϵ Z)

Answer 1

\(\dfrac{16}{x}=\dfrac{-4}{5}\) => -4x=16.5

=> -4x=80

=> x=-20

\(\dfrac{-4}{5}=\dfrac{y^2}{-5}\)=>\(-4.\left(-5\right)=5.y^2\)

=> 20=5y² => y=2

\(\dfrac{-4}{5}=\dfrac{100}{z^3}\)=> 5.100= -4.z³ => 125=z³ => z=5

Answer 2

\(\dfrac{16}{x}=\dfrac{-4}{5}=\dfrac{y^2}{-5}=\dfrac{100}{z^3}\) 

\(\Rightarrow\dfrac{-4}{5}=\dfrac{16}{x}\) 

\(\Rightarrow x=\dfrac{16.5}{-4}=-20\) 

\(\Rightarrow\dfrac{-4}{5}=\dfrac{y^2}{-5}\) 

\(\Rightarrow y^2=\dfrac{-4.-5}{5}=4\) 

\(\Rightarrow y=2\) hoặc \(y=-2\) 

\(\Rightarrow\dfrac{-4}{5}=\dfrac{100}{z^3}\) 

\(\Rightarrow z^3=\dfrac{100.5}{-4}=-125\) 

\(\Rightarrow z=-5\) 

Chúc bạn học tốt!