Answer
The value is $6$.
Work Step by Step
Consider the given expression:
$\begin{align}
& \frac{2\left( -5 \right)-1\left( -4 \right)}{5\left( -5 \right)-6\left( -4 \right)}=\frac{-10-\left( -4 \right)}{-25-\left( -24 \right)} \\
& =\frac{-10+4}{-25+24} \\
& =\frac{-6}{-1} \\
& =\frac{6}{1}
\end{align}$
This implies that:
$\frac{2\left( -5 \right)-1\left( -4 \right)}{5\left( -5 \right)-6\left( -4 \right)}=6$
Therefore, the simplified value of the expression is 6.
