Answer
$\langle -30,-3 \rangle$
Work Step by Step
Step 1: $3\textbf {u}-6\textbf {v}$
Step 2: $3\cdot\langle -2,5 \rangle-6\cdot\langle 4,3 \rangle$
Step 3: $\langle -6,15\rangle-\langle 24,18\rangle$
Step 4: $\langle -6-24,15-18 \rangle$
Step 5: $\langle -30,-3 \rangle$