Melania has two jobs. during the day she works as an office clerk, and in the evening she works as a cashier. her office job pays her $13 dollars an hour. her cashier job pays her $9.25 dollars an hour. in one week, melania worked 38 hours. she earned at total of $434. how many hours did melania work in each job?

Lets x = # of hours Melania  works at office clerk
and y = # of hours Melania  works as a cashier

x + y = 38 so x = 38 - y
13x + 9.25y = 434

substitute  x = 38 - y into 13x + 9.25y = 434

13x + 9.25y = 434
13(38 - y) + 9.25y = 434
494 - 13y + 9.25y = 434
                  -3.75y = -60
                          y = 16
x = 38 - y so x = 38 - 16 = 22

answer
Melania  works at office clerk = 22 hours
Melania  works as a cashier = 16 hours