## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

The value of $\frac{2x}{x-7}-\frac{x+7}{x-7}$ is$1$.
$\frac{2x}{x-7}-\frac{x+7}{x-7}$ Here, the denominators are same. So, subtract the two numerators and keep the common denominator. $\frac{2x}{x-7}-\frac{x+7}{x-7}=\frac{\left( 2x \right)-\left( x+7 \right)}{x-7}$ Group the like terms and simplify the terms further: \begin{align} & \frac{2x}{x-7}-\frac{x+7}{x-7}=\frac{2x-x-7}{x-7} \\ & =\frac{x-7}{x-7} \\ & =1 \end{align}