A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20. The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?
To determine the hourly wage, we will add the two equations:
(10y - 30x) + (6y + 30x) = 20 + 60
16y = 80
y = 80/16
y = 5
Therefore, the employees should be paid $5 per hour.