### Home > CCG > Chapter 5 > Lesson 5.3.4 > Problem5-117

5-117.

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 $y=34x+839$, 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.

$7$ years