Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 695: 11

The equation has two solutions, -1 and 6.

$y-\frac{6}{y}=5$ $\frac{y^2}{y}-\frac{6}{y}=5$ $\frac{y^2-6}{y}=5$ $y^2-6=5y$ $y^2-5y-6=0$ $y^2-6y+y-6=0$ $(y-6)(y+1)=0$ $y-6=0$ or $y+1=0$ $y=6$ or $y=-1$ Check: $6-\frac{6}{6}=6-1=5$ $-1-\frac{6}{-1}=-1-(-6)=5$ The equation has two solutions, -1 and 6.