## Intermediate Algebra: Connecting Concepts through Application

$\color{blue}{\dfrac{2x+10}{x+7}}$
The rational expressions have the same denominator so they are similar. Add the numerators and copy the denominator to obtain: $=\dfrac{x+2+x+8}{x+7} \\=\color{blue}{\dfrac{2x+10}{x+7}}$