00:01
Okay, so let's first set up our variables for this equation.
00:06
We have derek and josiah working part -time, and there are different rates for working weekdays and weekends.
00:14
So we are going to let x equal the pay per hour during the week, so weekdays.
00:27
And y is going to be the pay per hour on the week end.
00:37
And we know that, so let's write our system now, we know that derek worked 20 hours on the weekday, so that's 20 times x, plus he worked one hour on the weekend, so that's 1 times y, and he earned 2.
00:57
$214.
01:00
Josiah earned $280, so equals 280, by working 14 hours on the weekdays, so 14x and 10 hours on the weekend, plus 10y.
01:15
So there's our system.
01:19
And now in b, we want to solve the system.
01:23
So we have 20x plus 1y equals 2 .4.
01:28
14, 14x plus 10y equals 280.
01:34
So i'm gonna multiply the whole top equation by negative 10.
01:40
That gives me negative 200x minus 10y equals negative 2140.
01:47
I'm gonna leave my bottom equation exactly as it was.
01:53
I'm gonna combine them...