00:01
So here we're given four equations and four unknown.
00:02
So solving them is just a matter of algebra.
00:05
So first of all, we're given the demand curve.
00:07
15 minus 3p1 plus p2 is equal to q1.
00:15
But we also know that q1 is equal to 2 plus p1, right? we have these two expressions for q1 so i can combine these.
00:24
This gives me 13 plus p2.
00:31
Is equal to 4p1, right? i just sort of group terms together.
00:36
The two comes over, the 3p1 goes over to the other side.
00:40
For the second equation, i can do the exact same thing, right? i have 6 minus 2 p2 plus p1 is equal to q2, but q2 is also equal to 1 plus p2.
00:55
So again, i do the exact same sort of thing, and i get 5 plus p1, plus p1, is equal to 3p2.
01:05
So what's the easiest way to solve this? well, let's rearrange this equation.
01:11
I get p2 is equal to 4p1 minus 13...