### Home > GC > Chapter 5 > Lesson 5.3.4 > Problem 5-104

5-104.

Tehachapi High School has 839 students and is increasing by 34 students per year. Meanwhile, Fresno High School has 1644 students and is decreasing by 81 students per year. In how many years will the two high schools have the same number of students? Be sure to show all work. Homework Help ✎

Define the variables. Write the equations for the populations of the schools over time in *y* = *mx* + *b* form.

The equation that represents the population of Tehachapi High School over time is *y* = 34*x* + 839, because the growth is 34 students (*m*) and it started at 834 students (*b*). Now write the equation for Fresno High.

Once you have both equations you have a system of equations. So solve by using the Equal Values method.

Check your answer!

7 years