Percent for those enrolled in college will equal that for those not enrolled. What will the percent be?

Question

The pattern of higher rates of current alcohol​ use, binge alcohol​ use, and heavy alcohol use among​ full-time college students than among others aged 18 to 22 has remained consistent since 2002. Using data from 2002 to​ 2008, the equations representing the percents of young adults aged 18 to 22 who used alcohol are shown​ below, where x represents the number of years after 2000. Enrolled in college y=-0.345x+19.886 Not enrolled y=-0.013x+13.884.Percent for those enrolled in college will equal that for those not enrolled. What will the percent be?

Answer 1

y = -0.345x+19.886

y= -0.013x+13.884

Subtract the two equations

0=-0.332x+6.002

x = 6.002/0.332≈18.08

y = -0.345(18.08)+19.886 ≈13.65%