00:01
Create two equations for this because there's two different situations.
00:03
So let's start with the first sentence.
00:05
Eugene and lester worked together painting a house and the job required seven hours to complete.
00:11
So we're going to let x equal eugene and we're going to let y equal lester.
00:16
So if they require seven hours to do the job they're working together, then eugene would do this portion of the job.
00:23
Lester would do this portion of the job.
00:26
Together they would complete the whole job.
00:28
So there's the first situation.
00:30
However, we have another house, same kind of house, so it would take the same amount of time.
00:37
Eugene and lester worked together for 4 .3 hours.
00:41
Well, that means that eugene did this portion of the job.
00:45
Lester did this portion of the job, but lester had to leave for a dentist appointment, and eugene completed the painting after 5 .5 more hours.
01:02
Create two equations.
01:03
It means that gene did not do a portion out of 4 .3 hours.
01:07
He did 4 .3 hours and 5 .5 hours.
01:12
So his portion then became out of 9 .8 hours.
01:15
So x out of 9 .8 plus the y over 4 .3 is going to equal the whole job because they did not work together for the entire time.
01:27
So we have our two equations here that we can solve.
01:33
I see, that should be over 7.
01:35
I don't know why i put it over y.
01:37
So let's go ahead and solve this.
01:39
So the first thing i'm going to do is get rid of my fractions.
01:42
So in this first equation, i'm going to say that x plus y equals 7 because i'm multiplying everything by 7...