2.) bob has two weekend jobs. last weekend he made a total of $77 after
working as a cashier for 5 hours and delivering newspapers for 4 hours.
this weekend he made $78 working as a cashier for 6 hours and delivering
newspapers for 3 hours. how much does he get paid per hour at each job?

Step-by-step explanation:

x= money earned per hour working as a cashier.

y=money earned per hour working delivering newspapers.

We propose the following system of equations:

5x + 4y =77

6x + 3y=78

We solve the system by reduction method:

-6*(5x+4y=77) ⇒  -30x-24y=-462

5*(6x+3y=78)⇒     30x+15y=390

                                     -9y=-72  ⇒   y=-72 /-9=8

Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.

5x + 4(8)=77

5x+32=77

5x=77-32

5x=45

x=45/5=9

therefore;  

money earned per hour working as a cashier= $9/ hour

money earned per hour working delivering newspapers=$8/hour

cashier:9    and   deliverring newspapers :8

Step-by-step explanation: