x will represent the number of tickets.
y will represent the fixed fee given by the ticket agency
6x + y = 135
3x + y = 75
To solve, we can use the process of elimination by multiplying the second equation by -2 so that 6y will cancel:
-6x - 2y = -150
+6y + y = 135
Now we simplify by adding/subtracting:
-y = -15 or y = 15
Plug the value of y into any of the two equations and solve for x. I will use the second equation:
3x + 15 = 75
3x = 60
x = 20
To set this up in slope intercept form (y = mx + b), we need to identify what m and b are.
m is x because it is not a fixed number, and b is y because it is a fixed number (price of “fixed” fee). This brings us to y = 20x + 15
