Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 523: 16

a = -1

$\frac{2a}{a+2}$-5=$\frac{7a}{a+2}$ (a+2)$\frac{2a}{a+2}$-5(a+2)=(a+2)$\frac{7a}{a+2}$ 2a-5a-10=7a -3a-10=7a -10=7a+3a -10=10a a=-1 The solution is -1 Check -1 $\frac{2a}{a+2}$-5=$\frac{7a}{a+2}$ $\frac{2(-1)}{-1+2}$-5=$\frac{7(-1)}{-1+2}$ $\frac{-2}{1}$-5=$\frac{-7}{1}$ -2-5=-7 -7=-7