Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 524: 29

x = -3

$\frac{11}{2x}$+$\frac{2}{3}$=$\frac{7}{2x}$ 6x($\frac{11}{2x}$+$\frac{2}{3}$)=6x$\frac{7}{2x}$ 6x$\frac{11}{2x}$+6x$\frac{2}{3}$=3*7 3*11+2x*2=21 33+4x=21 4x=21-33 4x=-12 x=-3 The solution is -3 Check Let x=-3 $\frac{11}{2x}$+$\frac{2}{3}$=$\frac{7}{2x}$ $\frac{11}{2(-3)}$+$\frac{2}{3}$=$\frac{7}{2(-3)}$ $\frac{11}{-6}$+$\frac{2}{3}$=$\frac{7}{-6}$ -$\frac{11}{6}$+$\frac{4}{6}$=-$\frac{7}{6}$ -$\frac{7}{6}$=-$\frac{7}{6}$