For this case, the first thing we are going to do is define variables.
We have then:
x: number of hours it takes Homer to finish work alone.
They worked together for 3 hours until Homer had to go home:
Mike finished the job working by himself in an additional 5 hours:
From here, we must clear the value of x.
We then have to multiply both sides by x (x-1):
Rewriting we have:
The solutions to the equation are:
Answer:
it has taken Homer to fix the deck himself about:
x2 = 11.75 hours
8 it is this !!!!!!!!!!!!!!!!
x=50 and y=10
because of vertical angles: 3y=x-20
and we also have 3y+5x-100=180 , if we simplify we get 3y=280-5x
we can combine the two equations and get x-20=280-5x and when we solve we get x=50 degrees
then we can plug that into the first equation and get 3y=30, and y=10 degrees