Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - Chapter 1 Review Problem Set - Page 38: 57

$2$

Substituting $x= 6 $ and $y= 4 $, the given expression, $ \dfrac{-5x-2y}{-2x-7} ,$ evaluates to \begin{array}{l}\require{cancel} \dfrac{-5(6)-2(4)}{-2(6)-7} \\\\= \dfrac{-30-8}{-12-7} \\\\= \dfrac{-38}{-19} \\\\= 2 .\end{array}