The thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. the splash water park charges an entry fee of $60 and an additional $3 per ride, x. based on this information, which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

The two equations are:
y = 5x + 40
y = 3x + 60

In each problem, you are given the cost per ride. That is the slope, it goes in front of the x. 

Then, you are also given the entry fee. That is the y-intercept, it goes at the end of the equation.

Now, the equations are in slope intercept form. Y = MX + B

Graphing the equations will give an answer of (10, 90)
This means for both plans 10 rides will cost $90.