\(\begin{array}{l}
\left\{ \begin{array}{l}
x + y = 24 \\
x = 1\frac{1}{2}y \\
\end{array} \right. \\
\left\{ \begin{array}{l}
1\frac{1}{2}y + y = 24 \\
x = 1\frac{1}{2}y \\
\end{array} \right. \\
\left\{ \begin{array}{l}
2\frac{1}{2}y = 24 \\
x = 1\frac{1}{2}y \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = \frac{{24}}{{2\frac{1}{2}}} \\
x = 1\frac{1}{2}y \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = \frac{{48}}{5} \\
x = 1\frac{1}{2}y \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = 9\frac{3}{5} \\
x = 1\frac{1}{2} \cdot 9\frac{3}{5} \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = 9\frac{3}{5} \\
x = 9\frac{3}{5} + 4\frac{1}{2} + \frac{3}{{10}} \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = 9\frac{3}{5} \\
x = 9\frac{6}{{10}} + 4\frac{5}{{10}} + \frac{3}{{10}} \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = 9\frac{3}{5} \\
x = 13\frac{{14}}{{10}} \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = 9\frac{3}{5} \\
x = 14\frac{4}{{10}} \\
\end{array} \right. \\
\left\{ \begin{array}{l}
y = 9\frac{3}{5} \\
x = 14\frac{2}{5} \\
\end{array} \right. \\
\end{array}
\)
