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


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

Define the variables. Write the equations for the populations of the schools over time in form.

The equation that represents the population of Tehachapi High School over time is , because the growth is  students () and it started at students (). 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!