$\textit{Đáp án + Giải thích các bước giải:}$
$\text{$\dfrac{x}{3}$ = $\dfrac{y}{5}$ = $\dfrac{z}{2}$}$
$\text{⇒ $\dfrac{5x}{15}$ = $\dfrac{y}{5}$ = $\dfrac{3z}{6}$}$
$\text{Áp dụng tính chất dãy tỉ số bằng nhau ta có:}$
$\text{$\dfrac{x}{3}$ = $\dfrac{y}{5}$ = $\dfrac{3z}{6}$ = $\dfrac{5x-y+3z}{15-5+6}$ = $\dfrac{31}{4}$ = 31}$
$\text{$x^{}$ = $\dfrac{31}{4}$ . 3 = $\dfrac{93}{4}$}$
$\text{y = 31 . 5 = $\dfrac{155}{4}$}$
$\text{z = 31 . 6 : 3 = $\dfrac{62}{4}$}$
$\text{Vậy ($x^{}$; y; z) = $\bigg(\dfrac{93}{4}; \dfrac{155}{4}; \dfrac{62}{4}\bigg)$}$
