Maggie has a job working in an office for 10$ an hour & another job driving a tractor for 12$ an hour. one week she works in the office twice as long as she drives the tractor. her total income for that week is 416$. how many hours did she spend at each job

Let t = the number of hrs spent driving the tractor
Then the number of hrs spent in the office = 2t
We can write the following equation for the total amount earned:

10*(2t) + 12t = 416
Solve for t:
32t = 416
t = 13
So she spent 13 hrs driving the tractor, 26 hrs in the office

The point (5, 10) will work for the rule y=x+5.y= 10 x= 510=5+510=10therefore the ordered pair (5, 10) works for the rule