Answer
$\langle 20,2 \rangle$
Work Step by Step
Step 1: $-2\textbf {u}+4\textbf {v}$
Step 2: $-2\cdot\langle -2,5 \rangle+4\cdot\langle 4,3 \rangle$
Step 3: $\langle 4,-10\rangle+\langle 16,12\rangle$
Step 4: $\langle 4+16,-10+12 \rangle$
Step 5: $\langle 20,2 \rangle$
