Question

CS 18 and 105 calories in each juice box The rules for two horseback riding packages are shown below. Go Galloping Horseback Rides $6 equipment fee plus S10 per hous hours horseback riding and let yepresent the total cost of the package. Write a system of equations to represent this situation let x represent the number of Lucky Horseshoe Stables $12 equipment fee plus hour 259 Calories What is the solution to the system of equations? What does the solution represent?

Answer 1

8A) Let x represent the number of hours of horseback riding.

Let y represent the total cost of the package

If Lucky horseshoe stables is used for x hours, the equation for the total cost would be

y = 7x + 12

If Go galloping horseshoe rides is used for x hours, the equation for the total cost would be

y = 10x + 6

Thus, the equations are

y = 7x + 12

y = 10x + 6

B) To solve the system of equations, we would substitute the first equation into the second equation. It becomes

7x + 12 = 10x + 6

10x - 7x = 12 - 6

3x = 6

x = 6/3

x = 2

y = 7x + 12 = 7 * 2 + 12

y = 14 + 12

y = 26

The solution of the system of equations is (2, 26)