\[\begin{cases}4u + 3v = 14 \\ 5u - 3v = 25\end{cases}\]
\[ (4u + 3v) + (5u - 3v) = 14 + 25 \]
\[ 9u = 39 \]
\[ u = \frac{39}{9} = \frac{13}{3} \]
\[ 4(\frac{13}{3}) + 3v = 14 \]
\[ \frac{52}{3} + 3v = 14 \]
\[ 3v = 14 - \frac{52}{3} = \frac{42 - 52}{3} = -\frac{10}{3} \]
\[ v = -\frac{10}{9} \]
Ответ: u = 13/3, v = -10/9