a: \(\dfrac{-24}{-6}=\dfrac{x}{3}=\dfrac{4}{y^2}=\dfrac{z^3}{-2}\)
\(\Leftrightarrow\dfrac{x}{3}=\dfrac{4}{y^2}=\dfrac{z^3}{-2}=4\)
=>x=12; y2=1; z3=-8
=>x=12; \(y\in\left\{1;-1\right\}\); z=-2
b: \(\dfrac{12}{-6}=\dfrac{x}{5}=\dfrac{y}{-3}=\dfrac{z}{-17}=\dfrac{t}{9}\)
=>x/5=y/-3=z/-17=t/9=-2
=>x=-10; y=6; z=34; t=-18