The slope (m) represents the cost per person.
Answer:
The answer to your questions is: 25 new teachers
Step-by-step explanation:
Data
# of students = 2000
ratio = 3:80 teachers to students
New teachers = ?
Process
I suggest to use rule of three to solve this problem
3 teachers ---------------- 80 students
x ---------------- 2000 students
x = (2000 x 3) / 80 = 75 teachers
Number of initial teachers = 75
The ratio change to 1:20
1 teacher ------------------- 20 students
x ------------------- 2000 students
x = (2000 x 1) / 20
x = 100 teachers
Number of new teachers = 100 - 75 = 25
One and a fourth bags of popcorn
Given,
The linear pair of the equation is,

Required
The solution of the linear equation.
Taking the equation first as,

Substituting the value of y in second equation then,

Substituting the value of x in first equation then,

Hence, the solution of the system is (1, -10).