\[ \begin{aligned} &-2 \vec{U} + \frac{1}{2} \vec{V} \\[1em] &\hspace{2em}= -2(3, -5) + \frac{1}{2}(-2, 1) \\[1em] &\hspace{2em}= (-2 (3), (-2)(-5) ) + \left( \frac{1}{2} (2), \frac{1}{2} (1) \right) \\[1em] &\hspace{2em}= (-6, 10) + \left( -1, \frac{1}{2} \right) \\[1em] &\hspace{2em}= \left( -6 – 1, 10 + \frac{1}{2} \right) \\[1em] &\hspace{2em}= \boldsymbol{ \left( -7, \frac{21}{2} \right) } \end{aligned} \]