Đáp án:
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
$\begin{array}{l}
\dfrac{x}{{1,1}} = \dfrac{y}{{1,3}} = \dfrac{z}{{1,4}} = \dfrac{{2x}}{{2,2}}\\
= \dfrac{{2x - y}}{{2,2 - 1,3}} = \dfrac{{5,5}}{{0,9}} = \dfrac{{55}}{9}\\
\Rightarrow \left\{ \begin{array}{l}
x = \dfrac{{55}}{9}.1,1 = \dfrac{{55}}{9}.\dfrac{{11}}{{10}} = \dfrac{{121}}{{18}}\\
y = \dfrac{{55}}{9}.1,3 = \dfrac{{55}}{9}.\dfrac{{13}}{{10}} = \dfrac{{143}}{{18}}\\
z = \dfrac{{55}}{9}.1,4 = \dfrac{{55}}{9}.\dfrac{7}{5} = \dfrac{{77}}{9}
\end{array} \right.\\
\text{Vậy}\,x = \dfrac{{121}}{{18}};y = \dfrac{{143}}{{18}};z = \dfrac{{77}}{9}
\end{array}$
