Answer
$\langle 8,-7 \rangle$
Work Step by Step
Step 1: $\textbf {u}+\textbf {v}-3\textbf {u}$
Step 2: $\langle -2,5 \rangle+\langle 4,3 \rangle-3\cdot\langle -2,5 \rangle$
Step 3: $\langle -2,5 \rangle+\langle 4,3 \rangle-\langle -6,15 \rangle$
Step 4: $\langle -2+4-(-6),5+3-15 \rangle$
Step 5: $\langle 8,-7 \rangle$