You worked 14 hours last week and earned a total of $124 before taxes. Your job as a lifeguard pays $10 per hour and your job as a cashier pays $8 per hour. How many hours did you work at each job

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Step-by-step explanation:

let :

the job as lifeguard = A

the job as cashier = B

making 2 equations as follows :

(1) A+B = 14 ==> A = 14-B

(2) 10A + 8B = 124

substitute A (equation (1)) into equation (2) :

10(14-B) + 8B = 124

140 -10B +8B = 124

140- 2B = 124

140-124 = 2B

16 = 2 B

B = 8

A = 14-8 = 6

so, as a lifeguard = 6 working hours

and as a cashier = 8 working hours

Step-by-step explanation:

Let the lifeguard hours = x

Let the cashier hours= y

x + y = 14

10*x + 8*y = 124           Multiply the top equation by 8 Put it under here.

8x + 8y =     112           Subtract

2x = 12                          Divide by 2

x = 6

He worked 6 hours as a lifeguard.

x + y = 14

6 + y = 14                      Subtract 6 from each side

y = 14 - 6

y = 8                            

He worked 8 hours as a cashier.

check

6*10 = 60

8 * 8 = 64

total    124

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: