00:01
So here we're given the great east station wagon gets 18 miles per gallon in the city and 24 miles per gallon on the highway.
00:10
So i'm going to write 18c plus 24h and that will equal in some combination the 465 miles that were driven on this trip.
00:27
Now, i also know that there was a total of 23 gallons of gas used.
00:34
So some amount of gas was used on the city, and some were used on the highway.
00:44
So what i'm going to do is i'm going to solve this second equation to get the c by itself so that i can substitute it into my other equation.
00:52
So i'm going to subtract by h on both sides, leaving me with c equals 23 minus.
00:59
H.
01:00
I can now take this and plug it in where the c is in that first equation.
01:05
So i've 18 times 23 minus h plus 24h equals 465.
01:14
So i'm now going to distribute.
01:17
And when i do that, i get 18 times 23 will give me 414.
01:22
And then i have minus 18 times h.
01:25
So negative 18 h plus 24h plus 24 h.
01:30
Equals 465.
01:33
So i'm now going to combine my like terms.
01:35
So i have negative 18h and 24h.
01:39
So when i combine those together, that will give me 6h...