Question 1140808
x = the price of prime time per minute.
y = the price of non-prime time per minute.


you have two equations that need to be solved simultaneously.


they are:


45 * x + 80 * y = 10.95
60 * x + 90 * y = 13.35


multiply both sides of the first equation by 4 and multiply both sides of the second equation by 3 to get:


180 * x + 320 * y = 43.80
180 * x + 270 * y = 40.05


subtract the second equation from the first to get:


50 * y = 3.75


solve for y to get y = 3.75 / 50 = .075


go back to original equaitons and replace y with .075 and solve for x.


your original equations are:


45 * x + 80 * y = 10.95 becomes 45 * x + 80 * .075 = 10.95
60 * x + 90 * y = 13.35 becomes 60 * x + 90 * .075 = 13.35


in the first equation, solve for x to get x = (10.95 - 80 * .075) / 45 = .11


in the second equation, solve for x to get x = (13.35 - 90 * .075) / 60 = .11


x = .11 in both equations, as it should, if the value of y was calculated correctly.


you have.


cost for prime time = .11 per minute.
cost for non-prime time = .075 per minute.


that should be your solution.


replace x and y in both original equations to confirm they are true when these values are used.


45 * x + 80 * y = 10.95 becomes 45 * .11 + 80 * .075 = 10.95 which becomes 10.95 = 10.95, confirming the solution is good.


60 * x + 90 * y = 13.35 becomes 60 * .11 + 90 * .075 = 13.35 becomes 13.35, confirming the solution is good.


your solution is that the cost for using the financial news network during prime time is 11 cents a minute.