SOLUTION: a coumputer online service charges one hourly price for regular use but a higher hourly rate for designated " permium" areas. one customer was charged $28 after spending 2 h in per

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Question 82992This question is from textbook introductory algebra
: a coumputer online service charges one hourly price for regular use but a higher hourly rate for designated " permium" areas. one customer was charged $28 after spending 2 h in permium areas and 9 regular hours another spent 3 h in the permium areas and 6 regular hours and was charged $27. what does the online service charge per hour for regulae and premium service? This question is from textbook introductory algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a computer on-line service charges one hourly price for regular use but a higher hourly rate for designated " premium" areas. one customer was charged $28 after spending 2 h in premium areas and 9 regular hours another spent 3 h in the premium areas and 6 regular hours and was charged $27. what does the on-line service charge per hour for regular and premium service?
:
x = charge for premium area
y = charge for regular area
:
Write an equation for each customer:
2x + 9y = 28
3x + 6y = 27
:
Multiply 1st equation by 3, and the 2nd equation by 2:
6x + 27y = 84
6x + 12y = 54
---------------subtracting eliminates x
0x + 15y = 30
y = 30/15
y = $2/hr is the cost of regular service
:
Find x using 2x + 9y = 28; substitute 2 for y:
2x + 9(2) = 28
2x + 18 = 28
2x = 28 - 18
2x = 10
x = 10/2
x = $5/hr is cost of premium service
:
:
Check solution in the 2nd equation:
3(5) + 6(2) = 27