Answer
The value is $2\text{i}-13\text{j}$.
Work Step by Step
Substitute
$\text{v}=-6\text{i}+5\text{j},\text{w}=-7\text{i}+3\text{j}$
and solve the provided expression as below:
$\begin{align}
& 4\text{w}-5\text{v}=4\left( -7\text{i}+3\text{j} \right)-5\left( -6\text{i}+5\text{j} \right) \\
& =-28\text{i}+12\text{j}+30\text{i}-25\text{j} \\
& =\left( -28+30 \right)\text{i}+\left( 12-25 \right)\text{j} \\
& =2\text{i}-13\text{j}
\end{align}$
Therefore, $4\text{w}-5\text{v}=2\text{i}-13\text{j}$.
