Your bank charges you a fixed monthly fee for banking there and a charge for each check you write one month you wrote 23 checks and were charged 16.70 the next month you wrote 18 checks and were charged 15.95 how much is your fixed monthly charge and how much do they charge per check

Your fixed monthly charge is $13.25 and the charge per check is $0.15.

Step-by-step explanation:

The formula to calculate the amount the bank charges you would be equal to the fixed monthly fee plus the charge for each check for the number of checks. According to that, if you wrote 23 checks and were charged 16.70, this would be:

x+23y=16.70

Also, if you wrote 18 checks and were charged 15.95, you would have the following equation:

x+18y=15.95

You can use these equations to find the value of x and y:

x+23y=16.70 (1)

x+18y=15.95 (2)

where x is the fixed monthly fee and y is the charge for each check

First, you can solve fo x in (1)

x=16.70-23y (3)

Then, you can (3) in (2):

16.70-23y+18y=15.95

16.70-5y=15.95

16.70-15.95=5y

0.75=5y

y=0.75/5

y=0.15

Finally, you can replace the value of y in (3) to find x:

x=16.70-23(0.15)

x=16.70-3.45

x=13.25

According to this, the answer is that your fixed monthly charge is $13.25 and the charge per check is $0.15.