## College Algebra (6th Edition)

a. $0$ b. $\{ \frac{1}{4} \}$
$\frac{7}{2x} - \frac{5}{3x} = \frac{22}{3}$ a. $x=0$, makes the denominator zero, so it is the restricted value. b. $\frac{7}{2x} - \frac{5}{3x} = \frac{22}{3} ; x \ne 0;$ Multiply both sides, by the LCD $6x$. $6x(\frac{7}{2x} - \frac{5}{3x}) = 6x(\frac{22}{3}) ; x \ne 0;$ Using Distributive property, $6x(\frac{7}{2x}) - 6x( \frac{5}{3x}) = 6x(\frac{22}{3}) ; x \ne 0;$ Divide out common factors. $3(7) -2(5) = 2x(22)$ $21-10 = 44x$ $11 = 44x$ $x = \frac{11}{44}$ $x = \frac{1}{4}$ $\frac{1}{4}$ is not the restricted value. Solution Set : $\{\frac{1}{4} \}$