your work 14 hours last week a d earned a total of $96 befor taxes. your job as a lifeguard pays $8 per hour and your job as a chashier pays $6 per hour. how many hours did you work at each job

You would have worked 6 hours as lifeguard and 8 hours as cashier.

8 (14 - y) + 6y = 96

112 - 8y + 6y = 96

112 - 2y = 96

-2y = - 16

y = - 16/-2 = 8

You worked 8 hours as a cashier. since the total hours worked is 14 we know you worked as a lifeguard for 6 hours.